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Finding the Fourth Proportional to 198,800.32, 274,350.72 and 113,944

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Solution

The fourth proportional to 198,800.32, 274,350.72 and 113,944 is: 157,246.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,800.32 : 274,350.72 = 113,944 : x
  2. Step 2: Convert to fraction form
    198,800.32/274,350.72 = 113,944/x
  3. Step 3: Cross multiply
    198,800.32x = 274,350.72 × 113,944
  4. Step 4: Simplify right side
    198,800.32x = 31,260,618,439.68
  5. Step 5: Solve for x
    x = 31,260,618,439.68/198,800.32
  6. Step 6: Final answer
    x = 157,246.32

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