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Finding the Fourth Proportional to 266,452.75, 399,963.66 and 114,724.92

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Solution

The fourth proportional to 266,452.75, 399,963.66 and 114,724.92 is: 172,209.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,452.75 : 399,963.66 = 114,724.92 : x
  2. Step 2: Convert to fraction form
    266,452.75/399,963.66 = 114,724.92/x
  3. Step 3: Cross multiply
    266,452.75x = 399,963.66 × 114,724.92
  4. Step 4: Simplify right side
    266,452.75x = 45,885,798,896.41
  5. Step 5: Solve for x
    x = 45,885,798,896.41/266,452.75
  6. Step 6: Final answer
    x = 172,209.89

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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.