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Finding the Fourth Proportional to 165,191.40, 227,952.90 and 89,738.28

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Solution

The fourth proportional to 165,191.40, 227,952.90 and 89,738.28 is: 123,832.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,191.40 : 227,952.90 = 89,738.28 : x
  2. Step 2: Convert to fraction form
    165,191.40/227,952.90 = 89,738.28/x
  3. Step 3: Cross multiply
    165,191.40x = 227,952.90 × 89,738.28
  4. Step 4: Simplify right side
    165,191.40x = 20,456,101,167.01
  5. Step 5: Solve for x
    x = 20,456,101,167.01/165,191.40
  6. Step 6: Final answer
    x = 123,832.72

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