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Finding the Fourth Proportional to 137,591.24, 206,396.46 and 54,485

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Solution

The fourth proportional to 137,591.24, 206,396.46 and 54,485 is: 81,731.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,591.24 : 206,396.46 = 54,485 : x
  2. Step 2: Convert to fraction form
    137,591.24/206,396.46 = 54,485/x
  3. Step 3: Cross multiply
    137,591.24x = 206,396.46 × 54,485
  4. Step 4: Simplify right side
    137,591.24x = 11,245,511,123.10
  5. Step 5: Solve for x
    x = 11,245,511,123.10/137,591.24
  6. Step 6: Final answer
    x = 81,731.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.