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Finding the Fourth Proportional to 215,414.40, 323,121.60 and 82,226.10

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Solution

The fourth proportional to 215,414.40, 323,121.60 and 82,226.10 is: 123,339.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,414.40 : 323,121.60 = 82,226.10 : x
  2. Step 2: Convert to fraction form
    215,414.40/323,121.60 = 82,226.10/x
  3. Step 3: Cross multiply
    215,414.40x = 323,121.60 × 82,226.10
  4. Step 4: Simplify right side
    215,414.40x = 26,569,028,993.76
  5. Step 5: Solve for x
    x = 26,569,028,993.76/215,414.40
  6. Step 6: Final answer
    x = 123,339.15

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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.