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Finding the Fourth Proportional to 87,234.60, 131,046.30 and 83,692.20

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Solution

The fourth proportional to 87,234.60, 131,046.30 and 83,692.20 is: 125,724.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,234.60 : 131,046.30 = 83,692.20 : x
  2. Step 2: Convert to fraction form
    87,234.60/131,046.30 = 83,692.20/x
  3. Step 3: Cross multiply
    87,234.60x = 131,046.30 × 83,692.20
  4. Step 4: Simplify right side
    87,234.60x = 10,967,553,148.86
  5. Step 5: Solve for x
    x = 10,967,553,148.86/87,234.60
  6. Step 6: Final answer
    x = 125,724.81

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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.