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Finding the Fourth Proportional to 165,165.48, 227,961.54 and 98,084.52

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Solution

The fourth proportional to 165,165.48, 227,961.54 and 98,084.52 is: 135,376.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,165.48 : 227,961.54 = 98,084.52 : x
  2. Step 2: Convert to fraction form
    165,165.48/227,961.54 = 98,084.52/x
  3. Step 3: Cross multiply
    165,165.48x = 227,961.54 × 98,084.52
  4. Step 4: Simplify right side
    165,165.48x = 22,359,498,229.36
  5. Step 5: Solve for x
    x = 22,359,498,229.36/165,165.48
  6. Step 6: Final answer
    x = 135,376.34

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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.