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Finding the Fourth Proportional to 376,193.37, 564,171.51 and 123,414.96

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Solution

The fourth proportional to 376,193.37, 564,171.51 and 123,414.96 is: 185,083.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,193.37 : 564,171.51 = 123,414.96 : x
  2. Step 2: Convert to fraction form
    376,193.37/564,171.51 = 123,414.96/x
  3. Step 3: Cross multiply
    376,193.37x = 564,171.51 × 123,414.96
  4. Step 4: Simplify right side
    376,193.37x = 69,627,204,339.79
  5. Step 5: Solve for x
    x = 69,627,204,339.79/376,193.37
  6. Step 6: Final answer
    x = 185,083.55

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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.