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Finding the Fourth Proportional to 378,253.80, 567,342.30 and 128,932.20

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Solution

The fourth proportional to 378,253.80, 567,342.30 and 128,932.20 is: 193,385.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,253.80 : 567,342.30 = 128,932.20 : x
  2. Step 2: Convert to fraction form
    378,253.80/567,342.30 = 128,932.20/x
  3. Step 3: Cross multiply
    378,253.80x = 567,342.30 × 128,932.20
  4. Step 4: Simplify right side
    378,253.80x = 73,148,690,892.06
  5. Step 5: Solve for x
    x = 73,148,690,892.06/378,253.80
  6. Step 6: Final answer
    x = 193,385.21

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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.