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Finding the Fourth Proportional to 165,141.97, 227,897.10 and 89,690.47

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Solution

The fourth proportional to 165,141.97, 227,897.10 and 89,690.47 is: 123,773.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,141.97 : 227,897.10 = 89,690.47 : x
  2. Step 2: Convert to fraction form
    165,141.97/227,897.10 = 89,690.47/x
  3. Step 3: Cross multiply
    165,141.97x = 227,897.10 × 89,690.47
  4. Step 4: Simplify right side
    165,141.97x = 20,440,198,010.64
  5. Step 5: Solve for x
    x = 20,440,198,010.64/165,141.97
  6. Step 6: Final answer
    x = 123,773.49

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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.