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Finding the Fourth Proportional to 378,132.82, 567,006.30 and 125,323.30

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Solution

The fourth proportional to 378,132.82, 567,006.30 and 125,323.30 is: 187,921.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,132.82 : 567,006.30 = 125,323.30 : x
  2. Step 2: Convert to fraction form
    378,132.82/567,006.30 = 125,323.30/x
  3. Step 3: Cross multiply
    378,132.82x = 567,006.30 × 125,323.30
  4. Step 4: Simplify right side
    378,132.82x = 71,059,100,636.79
  5. Step 5: Solve for x
    x = 71,059,100,636.79/378,132.82
  6. Step 6: Final answer
    x = 187,921.01

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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.