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Finding the Fourth Proportional to 275,737.69, 413,724.24 and 133,687.88

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Solution

The fourth proportional to 275,737.69, 413,724.24 and 133,687.88 is: 200,588.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,737.69 : 413,724.24 = 133,687.88 : x
  2. Step 2: Convert to fraction form
    275,737.69/413,724.24 = 133,687.88/x
  3. Step 3: Cross multiply
    275,737.69x = 413,724.24 × 133,687.88
  4. Step 4: Simplify right side
    275,737.69x = 55,309,915,881.77
  5. Step 5: Solve for x
    x = 55,309,915,881.77/275,737.69
  6. Step 6: Final answer
    x = 200,588.89

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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.