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Finding the Fourth Proportional to 275,168.61, 412,793.91 and 97,660.76

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Solution

The fourth proportional to 275,168.61, 412,793.91 and 97,660.76 is: 146,505.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,168.61 : 412,793.91 = 97,660.76 : x
  2. Step 2: Convert to fraction form
    275,168.61/412,793.91 = 97,660.76/x
  3. Step 3: Cross multiply
    275,168.61x = 412,793.91 × 97,660.76
  4. Step 4: Simplify right side
    275,168.61x = 40,313,764,910.00
  5. Step 5: Solve for x
    x = 40,313,764,910.00/275,168.61
  6. Step 6: Final answer
    x = 146,505.68

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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.