Really needed to read this today, thank you for posting it. In the middle of rejection number two right now and it helps to hear it doesn't mean anything about number four.
Success Stories
Three rejections, then an offer that was actually better
Turned down after final rounds three separate times before the fourth company came through — and it ended up being a better team and a better offer than any of the earlier ones. Not a fun stretch to go through, but wanted to post this for anyone in the middle of it right now.