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Finding the Fourth Proportional to 177,642.62, 266,505.87 and 57,699.20

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Solution

The fourth proportional to 177,642.62, 266,505.87 and 57,699.20 is: 86,562.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,642.62 : 266,505.87 = 57,699.20 : x
  2. Step 2: Convert to fraction form
    177,642.62/266,505.87 = 57,699.20/x
  3. Step 3: Cross multiply
    177,642.62x = 266,505.87 × 57,699.20
  4. Step 4: Simplify right side
    177,642.62x = 15,377,175,494.30
  5. Step 5: Solve for x
    x = 15,377,175,494.30/177,642.62
  6. Step 6: Final answer
    x = 86,562.42

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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.