Clever 4-term Sequences

How many 4-term geometric sequences have all four terms positive integers less than or equal to 100?

Details and assumptions

Clarification: The sequence 1,2,4,81, 2, 4, 8 is different from the sequence 8,4,2,1 8, 4, 2, 1. The sequence 1,1,1,11, 1, 1, 1 is the same as the 'flipped sequence' 1,1,1,1 1, 1, 1, 1.

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