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Finding the Fourth Proportional to 218,311.40, 327,639.90 and 85,255.40

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Solution

The fourth proportional to 218,311.40, 327,639.90 and 85,255.40 is: 127,950.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,311.40 : 327,639.90 = 85,255.40 : x
  2. Step 2: Convert to fraction form
    218,311.40/327,639.90 = 85,255.40/x
  3. Step 3: Cross multiply
    218,311.40x = 327,639.90 × 85,255.40
  4. Step 4: Simplify right side
    218,311.40x = 27,933,070,730.46
  5. Step 5: Solve for x
    x = 27,933,070,730.46/218,311.40
  6. Step 6: Final answer
    x = 127,950.58

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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.