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Finding the Fourth Proportional to 378,067.68, 567,212.34 and 111,835.32

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Solution

The fourth proportional to 378,067.68, 567,212.34 and 111,835.32 is: 167,785.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,067.68 : 567,212.34 = 111,835.32 : x
  2. Step 2: Convert to fraction form
    378,067.68/567,212.34 = 111,835.32/x
  3. Step 3: Cross multiply
    378,067.68x = 567,212.34 × 111,835.32
  4. Step 4: Simplify right side
    378,067.68x = 63,434,373,551.85
  5. Step 5: Solve for x
    x = 63,434,373,551.85/378,067.68
  6. Step 6: Final answer
    x = 167,785.76

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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.