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Finding the Fourth Proportional to 206,683.89, 285,201.74 and 116,049.75

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Solution

The fourth proportional to 206,683.89, 285,201.74 and 116,049.75 is: 160,136.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,683.89 : 285,201.74 = 116,049.75 : x
  2. Step 2: Convert to fraction form
    206,683.89/285,201.74 = 116,049.75/x
  3. Step 3: Cross multiply
    206,683.89x = 285,201.74 × 116,049.75
  4. Step 4: Simplify right side
    206,683.89x = 33,097,589,847.18
  5. Step 5: Solve for x
    x = 33,097,589,847.18/206,683.89
  6. Step 6: Final answer
    x = 160,136.29

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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.