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Finding the Fourth Proportional to 272,691.36, 409,223.87 and 95,198.36

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Solution

The fourth proportional to 272,691.36, 409,223.87 and 95,198.36 is: 142,862.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,691.36 : 409,223.87 = 95,198.36 : x
  2. Step 2: Convert to fraction form
    272,691.36/409,223.87 = 95,198.36/x
  3. Step 3: Cross multiply
    272,691.36x = 409,223.87 × 95,198.36
  4. Step 4: Simplify right side
    272,691.36x = 38,957,442,557.91
  5. Step 5: Solve for x
    x = 38,957,442,557.91/272,691.36
  6. Step 6: Final answer
    x = 142,862.77

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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.