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Finding the Fourth Proportional to 102,442.38, 141,372.24 and 56,507.32

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Solution

The fourth proportional to 102,442.38, 141,372.24 and 56,507.32 is: 77,981.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,442.38 : 141,372.24 = 56,507.32 : x
  2. Step 2: Convert to fraction form
    102,442.38/141,372.24 = 56,507.32/x
  3. Step 3: Cross multiply
    102,442.38x = 141,372.24 × 56,507.32
  4. Step 4: Simplify right side
    102,442.38x = 7,988,566,404.80
  5. Step 5: Solve for x
    x = 7,988,566,404.80/102,442.38
  6. Step 6: Final answer
    x = 77,981.07

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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.