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Finding the Fourth Proportional to 275,335.92, 412,759.20 and 97,819.52

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Solution

The fourth proportional to 275,335.92, 412,759.20 and 97,819.52 is: 146,642.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,335.92 : 412,759.20 = 97,819.52 : x
  2. Step 2: Convert to fraction form
    275,335.92/412,759.20 = 97,819.52/x
  3. Step 3: Cross multiply
    275,335.92x = 412,759.20 × 97,819.52
  4. Step 4: Simplify right side
    275,335.92x = 40,375,906,819.58
  5. Step 5: Solve for x
    x = 40,375,906,819.58/275,335.92
  6. Step 6: Final answer
    x = 146,642.35

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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.