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Finding the Fourth Proportional to 376,092.92, 564,158.20 and 123,351.06

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Solution

The fourth proportional to 376,092.92, 564,158.20 and 123,351.06 is: 185,032.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,092.92 : 564,158.20 = 123,351.06 : x
  2. Step 2: Convert to fraction form
    376,092.92/564,158.20 = 123,351.06/x
  3. Step 3: Cross multiply
    376,092.92x = 564,158.20 × 123,351.06
  4. Step 4: Simplify right side
    376,092.92x = 69,589,511,977.69
  5. Step 5: Solve for x
    x = 69,589,511,977.69/376,092.92
  6. Step 6: Final answer
    x = 185,032.76

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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.