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Finding the Fourth Proportional to 165,108.38, 227,849.56 and 89,656.88

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Solution

The fourth proportional to 165,108.38, 227,849.56 and 89,656.88 is: 123,726.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,108.38 : 227,849.56 = 89,656.88 : x
  2. Step 2: Convert to fraction form
    165,108.38/227,849.56 = 89,656.88/x
  3. Step 3: Cross multiply
    165,108.38x = 227,849.56 × 89,656.88
  4. Step 4: Simplify right side
    165,108.38x = 20,428,279,295.58
  5. Step 5: Solve for x
    x = 20,428,279,295.58/165,108.38
  6. Step 6: Final answer
    x = 123,726.49

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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.