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Finding the Fourth Proportional to 87,456.80, 131,185.20 and 52,464.80

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Solution

The fourth proportional to 87,456.80, 131,185.20 and 52,464.80 is: 78,697.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,456.80 : 131,185.20 = 52,464.80 : x
  2. Step 2: Convert to fraction form
    87,456.80/131,185.20 = 52,464.80/x
  3. Step 3: Cross multiply
    87,456.80x = 131,185.20 × 52,464.80
  4. Step 4: Simplify right side
    87,456.80x = 6,882,605,280.96
  5. Step 5: Solve for x
    x = 6,882,605,280.96/87,456.80
  6. Step 6: Final answer
    x = 78,697.20

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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.