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Finding the Fourth Proportional to 222,819.38, 307,530.06 and 132,225.30

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Solution

The fourth proportional to 222,819.38, 307,530.06 and 132,225.30 is: 182,494.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,819.38 : 307,530.06 = 132,225.30 : x
  2. Step 2: Convert to fraction form
    222,819.38/307,530.06 = 132,225.30/x
  3. Step 3: Cross multiply
    222,819.38x = 307,530.06 × 132,225.30
  4. Step 4: Simplify right side
    222,819.38x = 40,663,253,781.39
  5. Step 5: Solve for x
    x = 40,663,253,781.39/222,819.38
  6. Step 6: Final answer
    x = 182,494.24

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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.