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Finding the Fourth Proportional to 272,691.23, 409,223.68 and 95,198.24

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Solution

The fourth proportional to 272,691.23, 409,223.68 and 95,198.24 is: 142,862.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,691.23 : 409,223.68 = 95,198.24 : x
  2. Step 2: Convert to fraction form
    272,691.23/409,223.68 = 95,198.24/x
  3. Step 3: Cross multiply
    272,691.23x = 409,223.68 × 95,198.24
  4. Step 4: Simplify right side
    272,691.23x = 38,957,375,422.88
  5. Step 5: Solve for x
    x = 38,957,375,422.88/272,691.23
  6. Step 6: Final answer
    x = 142,862.59

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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.