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Finding the Fourth Proportional to 275,059.82, 412,504.28 and 132,816.66

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Solution

The fourth proportional to 275,059.82, 412,504.28 and 132,816.66 is: 199,183.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,059.82 : 412,504.28 = 132,816.66 : x
  2. Step 2: Convert to fraction form
    275,059.82/412,504.28 = 132,816.66/x
  3. Step 3: Cross multiply
    275,059.82x = 412,504.28 × 132,816.66
  4. Step 4: Simplify right side
    275,059.82x = 54,787,440,705.30
  5. Step 5: Solve for x
    x = 54,787,440,705.30/275,059.82
  6. Step 6: Final answer
    x = 199,183.73

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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.