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Finding the Fourth Proportional to 165,189.40, 227,950.14 and 89,736.28

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Solution

The fourth proportional to 165,189.40, 227,950.14 and 89,736.28 is: 123,829.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,189.40 : 227,950.14 = 89,736.28 : x
  2. Step 2: Convert to fraction form
    165,189.40/227,950.14 = 89,736.28/x
  3. Step 3: Cross multiply
    165,189.40x = 227,950.14 × 89,736.28
  4. Step 4: Simplify right side
    165,189.40x = 20,455,397,589.08
  5. Step 5: Solve for x
    x = 20,455,397,589.08/165,189.40
  6. Step 6: Final answer
    x = 123,829.96

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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.