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Finding the Fourth Proportional to 165,145.38, 227,900.42 and 89,693.34

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Solution

The fourth proportional to 165,145.38, 227,900.42 and 89,693.34 is: 123,776.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,145.38 : 227,900.42 = 89,693.34 : x
  2. Step 2: Convert to fraction form
    165,145.38/227,900.42 = 89,693.34/x
  3. Step 3: Cross multiply
    165,145.38x = 227,900.42 × 89,693.34
  4. Step 4: Simplify right side
    165,145.38x = 20,441,149,857.20
  5. Step 5: Solve for x
    x = 20,441,149,857.20/165,145.38
  6. Step 6: Final answer
    x = 123,776.70

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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.