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For rekordbox you could manually set the BPM in export mode, and find out about the BPM via the "tap" button


see at the right of the BPM

What I usually do in rekordbox is getting the 155bpm to be correct first, then I'll scroll to the part which has the tempo change. That tempo change on that part has to be finished, so I dont know how to let the progam know an linear increase of bpm but when the increase is done, right there I get the "cursor" of rekordbox in the middle on exactly that point.
I now click on that button directly left from the bpm count, this lets you pick a new bpm for everything which comes after that.
Only downside, the markers for the first of the 4 beats will most likely be not on the first beats anymore but on any other beat.
Damn thats fucking disgusting to explain hope youll get what i mean