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Finding the Fourth Proportional to 218,059.84, 327,089.50 and 68,311.80

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Solution

The fourth proportional to 218,059.84, 327,089.50 and 68,311.80 is: 102,467.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,059.84 : 327,089.50 = 68,311.80 : x
  2. Step 2: Convert to fraction form
    218,059.84/327,089.50 = 68,311.80/x
  3. Step 3: Cross multiply
    218,059.84x = 327,089.50 × 68,311.80
  4. Step 4: Simplify right side
    218,059.84x = 22,344,072,506.10
  5. Step 5: Solve for x
    x = 22,344,072,506.10/218,059.84
  6. Step 6: Final answer
    x = 102,467.62

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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.