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Finding the Fourth Proportional to 218,447.70, 327,251.75 and 133,961.50

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Solution

The fourth proportional to 218,447.70, 327,251.75 and 133,961.50 is: 200,684.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,447.70 : 327,251.75 = 133,961.50 : x
  2. Step 2: Convert to fraction form
    218,447.70/327,251.75 = 133,961.50/x
  3. Step 3: Cross multiply
    218,447.70x = 327,251.75 × 133,961.50
  4. Step 4: Simplify right side
    218,447.70x = 43,839,133,206.09
  5. Step 5: Solve for x
    x = 43,839,133,206.09/218,447.70
  6. Step 6: Final answer
    x = 200,684.80

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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.