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Finding the Fourth Proportional to 218,286.27, 327,429.47 and 98,202.96

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Solution

The fourth proportional to 218,286.27, 327,429.47 and 98,202.96 is: 147,304.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,286.27 : 327,429.47 = 98,202.96 : x
  2. Step 2: Convert to fraction form
    218,286.27/327,429.47 = 98,202.96/x
  3. Step 3: Cross multiply
    218,286.27x = 327,429.47 × 98,202.96
  4. Step 4: Simplify right side
    218,286.27x = 32,154,543,145.23
  5. Step 5: Solve for x
    x = 32,154,543,145.23/218,286.27
  6. Step 6: Final answer
    x = 147,304.47

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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.