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Finding the Fourth Proportional to 217,306.98, 299,884.32 and 120,517.74

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Solution

The fourth proportional to 217,306.98, 299,884.32 and 120,517.74 is: 166,314.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,306.98 : 299,884.32 = 120,517.74 : x
  2. Step 2: Convert to fraction form
    217,306.98/299,884.32 = 120,517.74/x
  3. Step 3: Cross multiply
    217,306.98x = 299,884.32 × 120,517.74
  4. Step 4: Simplify right side
    217,306.98x = 36,141,380,507.84
  5. Step 5: Solve for x
    x = 36,141,380,507.84/217,306.98
  6. Step 6: Final answer
    x = 166,314.86

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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.