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Finding the Fourth Proportional to 422,361.97, 633,545.08 and 106,819.18

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Solution

The fourth proportional to 422,361.97, 633,545.08 and 106,819.18 is: 160,229.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,361.97 : 633,545.08 = 106,819.18 : x
  2. Step 2: Convert to fraction form
    422,361.97/633,545.08 = 106,819.18/x
  3. Step 3: Cross multiply
    422,361.97x = 633,545.08 × 106,819.18
  4. Step 4: Simplify right side
    422,361.97x = 67,674,764,087.72
  5. Step 5: Solve for x
    x = 67,674,764,087.72/422,361.97
  6. Step 6: Final answer
    x = 160,229.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.