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Finding the Fourth Proportional to 165,143.38, 227,897.66 and 89,691.34

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Solution

The fourth proportional to 165,143.38, 227,897.66 and 89,691.34 is: 123,773.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,143.38 : 227,897.66 = 89,691.34 : x
  2. Step 2: Convert to fraction form
    165,143.38/227,897.66 = 89,691.34/x
  3. Step 3: Cross multiply
    165,143.38x = 227,897.66 × 89,691.34
  4. Step 4: Simplify right side
    165,143.38x = 20,440,446,508.26
  5. Step 5: Solve for x
    x = 20,440,446,508.26/165,143.38
  6. Step 6: Final answer
    x = 123,773.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.