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Finding the Fourth Proportional to 165,146.56, 227,921.52 and 98,078.56

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Solution

The fourth proportional to 165,146.56, 227,921.52 and 98,078.56 is: 135,359.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,146.56 : 227,921.52 = 98,078.56 : x
  2. Step 2: Convert to fraction form
    165,146.56/227,921.52 = 98,078.56/x
  3. Step 3: Cross multiply
    165,146.56x = 227,921.52 × 98,078.56
  4. Step 4: Simplify right side
    165,146.56x = 22,354,214,474.61
  5. Step 5: Solve for x
    x = 22,354,214,474.61/165,146.56
  6. Step 6: Final answer
    x = 135,359.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.