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Finding the Fourth Proportional to 378,286.56, 567,512.82 and 112,067.88

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Solution

The fourth proportional to 378,286.56, 567,512.82 and 112,067.88 is: 168,126.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,286.56 : 567,512.82 = 112,067.88 : x
  2. Step 2: Convert to fraction form
    378,286.56/567,512.82 = 112,067.88/x
  3. Step 3: Cross multiply
    378,286.56x = 567,512.82 × 112,067.88
  4. Step 4: Simplify right side
    378,286.56x = 63,599,958,610.22
  5. Step 5: Solve for x
    x = 63,599,958,610.22/378,286.56
  6. Step 6: Final answer
    x = 168,126.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.