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Finding the Fourth Proportional to 199,234.28, 274,943.41 and 113,193.41

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Solution

The fourth proportional to 199,234.28, 274,943.41 and 113,193.41 is: 156,206.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,234.28 : 274,943.41 = 113,193.41 : x
  2. Step 2: Convert to fraction form
    199,234.28/274,943.41 = 113,193.41/x
  3. Step 3: Cross multiply
    199,234.28x = 274,943.41 × 113,193.41
  4. Step 4: Simplify right side
    199,234.28x = 31,121,781,568.96
  5. Step 5: Solve for x
    x = 31,121,781,568.96/199,234.28
  6. Step 6: Final answer
    x = 156,206.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.