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Finding the Fourth Proportional to 378,046.20, 567,123.30 and 111,772.20

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Solution

The fourth proportional to 378,046.20, 567,123.30 and 111,772.20 is: 167,674.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,046.20 : 567,123.30 = 111,772.20 : x
  2. Step 2: Convert to fraction form
    378,046.20/567,123.30 = 111,772.20/x
  3. Step 3: Cross multiply
    378,046.20x = 567,123.30 × 111,772.20
  4. Step 4: Simplify right side
    378,046.20x = 63,388,618,912.26
  5. Step 5: Solve for x
    x = 63,388,618,912.26/378,046.20
  6. Step 6: Final answer
    x = 167,674.27

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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.