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Finding the Fourth Proportional to 149,456.16, 206,241.36 and 82,382.88

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Solution

The fourth proportional to 149,456.16, 206,241.36 and 82,382.88 is: 113,683.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,456.16 : 206,241.36 = 82,382.88 : x
  2. Step 2: Convert to fraction form
    149,456.16/206,241.36 = 82,382.88/x
  3. Step 3: Cross multiply
    149,456.16x = 206,241.36 × 82,382.88
  4. Step 4: Simplify right side
    149,456.16x = 16,990,757,211.92
  5. Step 5: Solve for x
    x = 16,990,757,211.92/149,456.16
  6. Step 6: Final answer
    x = 113,683.89

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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.