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Finding the Fourth Proportional to 137,692.40, 206,626 and 58,807.28

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Solution

The fourth proportional to 137,692.40, 206,626 and 58,807.28 is: 88,248.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,692.40 : 206,626 = 58,807.28 : x
  2. Step 2: Convert to fraction form
    137,692.40/206,626 = 58,807.28/x
  3. Step 3: Cross multiply
    137,692.40x = 206,626 × 58,807.28
  4. Step 4: Simplify right side
    137,692.40x = 12,151,113,037.28
  5. Step 5: Solve for x
    x = 12,151,113,037.28/137,692.40
  6. Step 6: Final answer
    x = 88,248.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.