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Finding the Fourth Proportional to 165,023.38, 227,732.16 and 89,571.88

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Solution

The fourth proportional to 165,023.38, 227,732.16 and 89,571.88 is: 123,609.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,023.38 : 227,732.16 = 89,571.88 : x
  2. Step 2: Convert to fraction form
    165,023.38/227,732.16 = 89,571.88/x
  3. Step 3: Cross multiply
    165,023.38x = 227,732.16 × 89,571.88
  4. Step 4: Simplify right side
    165,023.38x = 20,398,397,707.66
  5. Step 5: Solve for x
    x = 20,398,397,707.66/165,023.38
  6. Step 6: Final answer
    x = 123,609.14

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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.