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Finding the Fourth Proportional to 137,829.92, 206,620.04 and 95,729.87

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Solution

The fourth proportional to 137,829.92, 206,620.04 and 95,729.87 is: 143,508.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,829.92 : 206,620.04 = 95,729.87 : x
  2. Step 2: Convert to fraction form
    137,829.92/206,620.04 = 95,729.87/x
  3. Step 3: Cross multiply
    137,829.92x = 206,620.04 × 95,729.87
  4. Step 4: Simplify right side
    137,829.92x = 19,779,710,324.47
  5. Step 5: Solve for x
    x = 19,779,710,324.47/137,829.92
  6. Step 6: Final answer
    x = 143,508.11

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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.