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Finding the Fourth Proportional to 102,663.38, 141,665.46 and 57,337.76

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Solution

The fourth proportional to 102,663.38, 141,665.46 and 57,337.76 is: 79,120.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,663.38 : 141,665.46 = 57,337.76 : x
  2. Step 2: Convert to fraction form
    102,663.38/141,665.46 = 57,337.76/x
  3. Step 3: Cross multiply
    102,663.38x = 141,665.46 × 57,337.76
  4. Step 4: Simplify right side
    102,663.38x = 8,122,780,145.77
  5. Step 5: Solve for x
    x = 8,122,780,145.77/102,663.38
  6. Step 6: Final answer
    x = 79,120.52

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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.