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Finding the Fourth Proportional to 378,184.20, 567,305.46 and 111,940.44

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Solution

The fourth proportional to 378,184.20, 567,305.46 and 111,940.44 is: 167,919.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,184.20 : 567,305.46 = 111,940.44 : x
  2. Step 2: Convert to fraction form
    378,184.20/567,305.46 = 111,940.44/x
  3. Step 3: Cross multiply
    378,184.20x = 567,305.46 × 111,940.44
  4. Step 4: Simplify right side
    378,184.20x = 63,504,422,806.80
  5. Step 5: Solve for x
    x = 63,504,422,806.80/378,184.20
  6. Step 6: Final answer
    x = 167,919.29

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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.