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Finding the Fourth Proportional to 159,902.63, 239,471.57 and 92,229.52

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Solution

The fourth proportional to 159,902.63, 239,471.57 and 92,229.52 is: 138,123.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,902.63 : 239,471.57 = 92,229.52 : x
  2. Step 2: Convert to fraction form
    159,902.63/239,471.57 = 92,229.52/x
  3. Step 3: Cross multiply
    159,902.63x = 239,471.57 × 92,229.52
  4. Step 4: Simplify right side
    159,902.63x = 22,086,348,207.56
  5. Step 5: Solve for x
    x = 22,086,348,207.56/159,902.63
  6. Step 6: Final answer
    x = 138,123.73

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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.