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Finding the Fourth Proportional to 149,450, 206,241 and 82,383.44

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Solution

The fourth proportional to 149,450, 206,241 and 82,383.44 is: 113,689.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,450 : 206,241 = 82,383.44 : x
  2. Step 2: Convert to fraction form
    149,450/206,241 = 82,383.44/x
  3. Step 3: Cross multiply
    149,450x = 206,241 × 82,383.44
  4. Step 4: Simplify right side
    149,450x = 16,990,843,049.04
  5. Step 5: Solve for x
    x = 16,990,843,049.04/149,450
  6. Step 6: Final answer
    x = 113,689.15

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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.