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Finding the Fourth Proportional to 208,561.10, 312,906.45 and 82,217.30

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Solution

The fourth proportional to 208,561.10, 312,906.45 and 82,217.30 is: 123,351.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,561.10 : 312,906.45 = 82,217.30 : x
  2. Step 2: Convert to fraction form
    208,561.10/312,906.45 = 82,217.30/x
  3. Step 3: Cross multiply
    208,561.10x = 312,906.45 × 82,217.30
  4. Step 4: Simplify right side
    208,561.10x = 25,726,323,471.59
  5. Step 5: Solve for x
    x = 25,726,323,471.59/208,561.10
  6. Step 6: Final answer
    x = 123,351.49

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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.