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Finding the Fourth Proportional to 381,382.56, 572,158.89 and 125,226.54

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Solution

The fourth proportional to 381,382.56, 572,158.89 and 125,226.54 is: 187,867.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,382.56 : 572,158.89 = 125,226.54 : x
  2. Step 2: Convert to fraction form
    381,382.56/572,158.89 = 125,226.54/x
  3. Step 3: Cross multiply
    381,382.56x = 572,158.89 × 125,226.54
  4. Step 4: Simplify right side
    381,382.56x = 71,649,478,124.94
  5. Step 5: Solve for x
    x = 71,649,478,124.94/381,382.56
  6. Step 6: Final answer
    x = 187,867.74

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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.