A group of students are doing a project where they make a rocket from bottles. The students all make their separate versions of the bottles. When it is time to launch their rockets, some rockets go higher than other rockets. Student A's rocket goes 3 times higher than the second highest rocket. Student B's rocket goes 50 feet into the air. Student C's rocket went a dozen feet higher into the air than Student B's rocket. If Student D's rocket went 200 feet in the air, how much higher did Student D's rocket go compared to Student A's rocket?