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Finding the Fourth Proportional to 376,198.88, 564,331.12 and 123,403.56

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Solution

The fourth proportional to 376,198.88, 564,331.12 and 123,403.56 is: 185,116.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,198.88 : 564,331.12 = 123,403.56 : x
  2. Step 2: Convert to fraction form
    376,198.88/564,331.12 = 123,403.56/x
  3. Step 3: Cross multiply
    376,198.88x = 564,331.12 × 123,403.56
  4. Step 4: Simplify right side
    376,198.88x = 69,640,469,226.79
  5. Step 5: Solve for x
    x = 69,640,469,226.79/376,198.88
  6. Step 6: Final answer
    x = 185,116.10

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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.