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Finding the Fourth Proportional to 180,469.58, 270,610.92 and 96,207.11

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Solution

The fourth proportional to 180,469.58, 270,610.92 and 96,207.11 is: 144,260.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,469.58 : 270,610.92 = 96,207.11 : x
  2. Step 2: Convert to fraction form
    180,469.58/270,610.92 = 96,207.11/x
  3. Step 3: Cross multiply
    180,469.58x = 270,610.92 × 96,207.11
  4. Step 4: Simplify right side
    180,469.58x = 26,034,694,209.38
  5. Step 5: Solve for x
    x = 26,034,694,209.38/180,469.58
  6. Step 6: Final answer
    x = 144,260.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.