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Finding the Fourth Proportional to 125,402.14, 188,122.11 and 36,644.50

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Solution

The fourth proportional to 125,402.14, 188,122.11 and 36,644.50 is: 54,972.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,402.14 : 188,122.11 = 36,644.50 : x
  2. Step 2: Convert to fraction form
    125,402.14/188,122.11 = 36,644.50/x
  3. Step 3: Cross multiply
    125,402.14x = 188,122.11 × 36,644.50
  4. Step 4: Simplify right side
    125,402.14x = 6,893,640,659.90
  5. Step 5: Solve for x
    x = 6,893,640,659.90/125,402.14
  6. Step 6: Final answer
    x = 54,972.27

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