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Finding the Fourth Proportional to 272,498.56, 408,765.12 and 85,517.44

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Solution

The fourth proportional to 272,498.56, 408,765.12 and 85,517.44 is: 128,281.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,498.56 : 408,765.12 = 85,517.44 : x
  2. Step 2: Convert to fraction form
    272,498.56/408,765.12 = 85,517.44/x
  3. Step 3: Cross multiply
    272,498.56x = 408,765.12 × 85,517.44
  4. Step 4: Simplify right side
    272,498.56x = 34,956,546,623.69
  5. Step 5: Solve for x
    x = 34,956,546,623.69/272,498.56
  6. Step 6: Final answer
    x = 128,281.58

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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.