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Finding the Fourth Proportional to 218,876, 328,357.20 and 69,139.40

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Solution

The fourth proportional to 218,876, 328,357.20 and 69,139.40 is: 103,722.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,876 : 328,357.20 = 69,139.40 : x
  2. Step 2: Convert to fraction form
    218,876/328,357.20 = 69,139.40/x
  3. Step 3: Cross multiply
    218,876x = 328,357.20 × 69,139.40
  4. Step 4: Simplify right side
    218,876x = 22,702,419,793.68
  5. Step 5: Solve for x
    x = 22,702,419,793.68/218,876
  6. Step 6: Final answer
    x = 103,722.75

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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.