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Finding the Fourth Proportional to 104,498.14, 156,747.24 and 73,471.90

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Solution

The fourth proportional to 104,498.14, 156,747.24 and 73,471.90 is: 110,207.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,498.14 : 156,747.24 = 73,471.90 : x
  2. Step 2: Convert to fraction form
    104,498.14/156,747.24 = 73,471.90/x
  3. Step 3: Cross multiply
    104,498.14x = 156,747.24 × 73,471.90
  4. Step 4: Simplify right side
    104,498.14x = 11,516,517,542.56
  5. Step 5: Solve for x
    x = 11,516,517,542.56/104,498.14
  6. Step 6: Final answer
    x = 110,207.87

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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.