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Finding the Fourth Proportional to 266,046.12, 399,142.08 and 132,765.48

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Solution

The fourth proportional to 266,046.12, 399,142.08 and 132,765.48 is: 199,184.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,046.12 : 399,142.08 = 132,765.48 : x
  2. Step 2: Convert to fraction form
    266,046.12/399,142.08 = 132,765.48/x
  3. Step 3: Cross multiply
    266,046.12x = 399,142.08 × 132,765.48
  4. Step 4: Simplify right side
    266,046.12x = 52,992,289,839.40
  5. Step 5: Solve for x
    x = 52,992,289,839.40/266,046.12
  6. Step 6: Final answer
    x = 199,184.60

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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.