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Finding the Fourth Proportional to 165,065.12, 227,794.56 and 89,618.56

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Solution

The fourth proportional to 165,065.12, 227,794.56 and 89,618.56 is: 123,676.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,065.12 : 227,794.56 = 89,618.56 : x
  2. Step 2: Convert to fraction form
    165,065.12/227,794.56 = 89,618.56/x
  3. Step 3: Cross multiply
    165,065.12x = 227,794.56 × 89,618.56
  4. Step 4: Simplify right side
    165,065.12x = 20,414,620,443.03
  5. Step 5: Solve for x
    x = 20,414,620,443.03/165,065.12
  6. Step 6: Final answer
    x = 123,676.16

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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.