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Finding the Fourth Proportional to 149,616, 206,472.96 and 82,546.56

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Solution

The fourth proportional to 149,616, 206,472.96 and 82,546.56 is: 113,915.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,616 : 206,472.96 = 82,546.56 : x
  2. Step 2: Convert to fraction form
    149,616/206,472.96 = 82,546.56/x
  3. Step 3: Cross multiply
    149,616x = 206,472.96 × 82,546.56
  4. Step 4: Simplify right side
    149,616x = 17,043,632,581.02
  5. Step 5: Solve for x
    x = 17,043,632,581.02/149,616
  6. Step 6: Final answer
    x = 113,915.84

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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.