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Finding the Fourth Proportional to 222,836.38, 307,414.58 and 132,196.16

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Solution

The fourth proportional to 222,836.38, 307,414.58 and 132,196.16 is: 182,371.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,836.38 : 307,414.58 = 132,196.16 : x
  2. Step 2: Convert to fraction form
    222,836.38/307,414.58 = 132,196.16/x
  3. Step 3: Cross multiply
    222,836.38x = 307,414.58 × 132,196.16
  4. Step 4: Simplify right side
    222,836.38x = 40,639,027,004.01
  5. Step 5: Solve for x
    x = 40,639,027,004.01/222,836.38
  6. Step 6: Final answer
    x = 182,371.60

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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.