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Finding the Fourth Proportional to 217,229.14, 299,777.70 and 120,435.96

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Solution

The fourth proportional to 217,229.14, 299,777.70 and 120,435.96 is: 166,202.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,229.14 : 299,777.70 = 120,435.96 : x
  2. Step 2: Convert to fraction form
    217,229.14/299,777.70 = 120,435.96/x
  3. Step 3: Cross multiply
    217,229.14x = 299,777.70 × 120,435.96
  4. Step 4: Simplify right side
    217,229.14x = 36,104,015,086.09
  5. Step 5: Solve for x
    x = 36,104,015,086.09/217,229.14
  6. Step 6: Final answer
    x = 166,202.45

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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.