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Finding the Fourth Proportional to 165,193.06, 227,965.17 and 89,742.10

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Solution

The fourth proportional to 165,193.06, 227,965.17 and 89,742.10 is: 123,843.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,193.06 : 227,965.17 = 89,742.10 : x
  2. Step 2: Convert to fraction form
    165,193.06/227,965.17 = 89,742.10/x
  3. Step 3: Cross multiply
    165,193.06x = 227,965.17 × 89,742.10
  4. Step 4: Simplify right side
    165,193.06x = 20,458,073,082.66
  5. Step 5: Solve for x
    x = 20,458,073,082.66/165,193.06
  6. Step 6: Final answer
    x = 123,843.42

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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.