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Finding the Fourth Proportional to 272,691.61, 409,224.24 and 95,198.61

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Solution

The fourth proportional to 272,691.61, 409,224.24 and 95,198.61 is: 142,863.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,691.61 : 409,224.24 = 95,198.61 : x
  2. Step 2: Convert to fraction form
    272,691.61/409,224.24 = 95,198.61/x
  3. Step 3: Cross multiply
    272,691.61x = 409,224.24 × 95,198.61
  4. Step 4: Simplify right side
    272,691.61x = 38,957,578,826.31
  5. Step 5: Solve for x
    x = 38,957,578,826.31/272,691.61
  6. Step 6: Final answer
    x = 142,863.14

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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.