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Finding the Fourth Proportional to 157,369.10, 236,123.42 and 82,471.43

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Solution

The fourth proportional to 157,369.10, 236,123.42 and 82,471.43 is: 123,743.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,369.10 : 236,123.42 = 82,471.43 : x
  2. Step 2: Convert to fraction form
    157,369.10/236,123.42 = 82,471.43/x
  3. Step 3: Cross multiply
    157,369.10x = 236,123.42 × 82,471.43
  4. Step 4: Simplify right side
    157,369.10x = 19,473,435,691.53
  5. Step 5: Solve for x
    x = 19,473,435,691.53/157,369.10
  6. Step 6: Final answer
    x = 123,743.71

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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.