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Finding the Fourth Proportional to 222,902.85, 307,546.43 and 132,183.39

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Solution

The fourth proportional to 222,902.85, 307,546.43 and 132,183.39 is: 182,377.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,902.85 : 307,546.43 = 132,183.39 : x
  2. Step 2: Convert to fraction form
    222,902.85/307,546.43 = 132,183.39/x
  3. Step 3: Cross multiply
    222,902.85x = 307,546.43 × 132,183.39
  4. Step 4: Simplify right side
    222,902.85x = 40,652,529,038.88
  5. Step 5: Solve for x
    x = 40,652,529,038.88/222,902.85
  6. Step 6: Final answer
    x = 182,377.79

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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.