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Finding the Fourth Proportional to 222,375.38, 306,874.33 and 120,400.02

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Solution

The fourth proportional to 222,375.38, 306,874.33 and 120,400.02 is: 166,150.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,375.38 : 306,874.33 = 120,400.02 : x
  2. Step 2: Convert to fraction form
    222,375.38/306,874.33 = 120,400.02/x
  3. Step 3: Cross multiply
    222,375.38x = 306,874.33 × 120,400.02
  4. Step 4: Simplify right side
    222,375.38x = 36,947,675,168.49
  5. Step 5: Solve for x
    x = 36,947,675,168.49/222,375.38
  6. Step 6: Final answer
    x = 166,150.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.