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Finding the Fourth Proportional to 378,610.80, 567,793.36 and 125,823.36

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Solution

The fourth proportional to 378,610.80, 567,793.36 and 125,823.36 is: 188,694.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,610.80 : 567,793.36 = 125,823.36 : x
  2. Step 2: Convert to fraction form
    378,610.80/567,793.36 = 125,823.36/x
  3. Step 3: Cross multiply
    378,610.80x = 567,793.36 × 125,823.36
  4. Step 4: Simplify right side
    378,610.80x = 71,441,668,340.89
  5. Step 5: Solve for x
    x = 71,441,668,340.89/378,610.80
  6. Step 6: Final answer
    x = 188,694.22

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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.