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Finding the Fourth Proportional to 87,121.16, 120,182.88 and 56,924.16

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Solution

The fourth proportional to 87,121.16, 120,182.88 and 56,924.16 is: 78,526.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,121.16 : 120,182.88 = 56,924.16 : x
  2. Step 2: Convert to fraction form
    87,121.16/120,182.88 = 56,924.16/x
  3. Step 3: Cross multiply
    87,121.16x = 120,182.88 × 56,924.16
  4. Step 4: Simplify right side
    87,121.16x = 6,841,309,490.38
  5. Step 5: Solve for x
    x = 6,841,309,490.38/87,121.16
  6. Step 6: Final answer
    x = 78,526.38

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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.