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Finding the Fourth Proportional to 206,229.28, 309,458.72 and 111,457.60

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Solution

The fourth proportional to 206,229.28, 309,458.72 and 111,457.60 is: 167,248.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,229.28 : 309,458.72 = 111,457.60 : x
  2. Step 2: Convert to fraction form
    206,229.28/309,458.72 = 111,457.60/x
  3. Step 3: Cross multiply
    206,229.28x = 309,458.72 × 111,457.60
  4. Step 4: Simplify right side
    206,229.28x = 34,491,526,230.27
  5. Step 5: Solve for x
    x = 34,491,526,230.27/206,229.28
  6. Step 6: Final answer
    x = 167,248.44

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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.