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Finding the Fourth Proportional to 275,660.62, 413,563.83 and 149,244.73

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Solution

The fourth proportional to 275,660.62, 413,563.83 and 149,244.73 is: 223,906.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,660.62 : 413,563.83 = 149,244.73 : x
  2. Step 2: Convert to fraction form
    275,660.62/413,563.83 = 149,244.73/x
  3. Step 3: Cross multiply
    275,660.62x = 413,563.83 × 149,244.73
  4. Step 4: Simplify right side
    275,660.62x = 61,722,222,146.12
  5. Step 5: Solve for x
    x = 61,722,222,146.12/275,660.62
  6. Step 6: Final answer
    x = 223,906.56

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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.