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Finding the Fourth Proportional to 149,408.20, 206,183.26 and 82,340.20

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Solution

The fourth proportional to 149,408.20, 206,183.26 and 82,340.20 is: 113,629.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,408.20 : 206,183.26 = 82,340.20 : x
  2. Step 2: Convert to fraction form
    149,408.20/206,183.26 = 82,340.20/x
  3. Step 3: Cross multiply
    149,408.20x = 206,183.26 × 82,340.20
  4. Step 4: Simplify right side
    149,408.20x = 16,977,170,865.05
  5. Step 5: Solve for x
    x = 16,977,170,865.05/149,408.20
  6. Step 6: Final answer
    x = 113,629.45

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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.