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Finding the Fourth Proportional to 222,562.53, 333,610.52 and 82,231.65

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Solution

The fourth proportional to 222,562.53, 333,610.52 and 82,231.65 is: 123,261.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,562.53 : 333,610.52 = 82,231.65 : x
  2. Step 2: Convert to fraction form
    222,562.53/333,610.52 = 82,231.65/x
  3. Step 3: Cross multiply
    222,562.53x = 333,610.52 × 82,231.65
  4. Step 4: Simplify right side
    222,562.53x = 27,433,343,105.80
  5. Step 5: Solve for x
    x = 27,433,343,105.80/222,562.53
  6. Step 6: Final answer
    x = 123,261.28

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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.