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Finding the Fourth Proportional to 217,781.20, 300,517.14 and 122,266

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Solution

The fourth proportional to 217,781.20, 300,517.14 and 122,266 is: 168,715.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,781.20 : 300,517.14 = 122,266 : x
  2. Step 2: Convert to fraction form
    217,781.20/300,517.14 = 122,266/x
  3. Step 3: Cross multiply
    217,781.20x = 300,517.14 × 122,266
  4. Step 4: Simplify right side
    217,781.20x = 36,743,028,639.24
  5. Step 5: Solve for x
    x = 36,743,028,639.24/217,781.20
  6. Step 6: Final answer
    x = 168,715.34

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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.