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Finding the Fourth Proportional to 150,692.16, 207,963.36 and 83,625.60

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Solution

The fourth proportional to 150,692.16, 207,963.36 and 83,625.60 is: 115,407.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,692.16 : 207,963.36 = 83,625.60 : x
  2. Step 2: Convert to fraction form
    150,692.16/207,963.36 = 83,625.60/x
  3. Step 3: Cross multiply
    150,692.16x = 207,963.36 × 83,625.60
  4. Step 4: Simplify right side
    150,692.16x = 17,391,060,758.02
  5. Step 5: Solve for x
    x = 17,391,060,758.02/150,692.16
  6. Step 6: Final answer
    x = 115,407.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.