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Finding the Fourth Proportional to 165,035.88, 227,752.02 and 89,584.38

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Solution

The fourth proportional to 165,035.88, 227,752.02 and 89,584.38 is: 123,627.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,035.88 : 227,752.02 = 89,584.38 : x
  2. Step 2: Convert to fraction form
    165,035.88/227,752.02 = 89,584.38/x
  3. Step 3: Cross multiply
    165,035.88x = 227,752.02 × 89,584.38
  4. Step 4: Simplify right side
    165,035.88x = 20,403,023,505.45
  5. Step 5: Solve for x
    x = 20,403,023,505.45/165,035.88
  6. Step 6: Final answer
    x = 123,627.80

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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.