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Finding the Fourth Proportional to 222,591.46, 307,177.38 and 120,616.96

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Solution

The fourth proportional to 222,591.46, 307,177.38 and 120,616.96 is: 166,452.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,591.46 : 307,177.38 = 120,616.96 : x
  2. Step 2: Convert to fraction form
    222,591.46/307,177.38 = 120,616.96/x
  3. Step 3: Cross multiply
    222,591.46x = 307,177.38 × 120,616.96
  4. Step 4: Simplify right side
    222,591.46x = 37,050,801,756.36
  5. Step 5: Solve for x
    x = 37,050,801,756.36/222,591.46
  6. Step 6: Final answer
    x = 166,452.04

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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.