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Finding the Fourth Proportional to 206,099.10, 309,163.05 and 81,423.90

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Solution

The fourth proportional to 206,099.10, 309,163.05 and 81,423.90 is: 122,141.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,099.10 : 309,163.05 = 81,423.90 : x
  2. Step 2: Convert to fraction form
    206,099.10/309,163.05 = 81,423.90/x
  3. Step 3: Cross multiply
    206,099.10x = 309,163.05 × 81,423.90
  4. Step 4: Simplify right side
    206,099.10x = 25,173,261,266.90
  5. Step 5: Solve for x
    x = 25,173,261,266.90/206,099.10
  6. Step 6: Final answer
    x = 122,141.54

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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.