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Finding the Fourth Proportional to 252,262.92, 378,204.75 and 119,067.42

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Solution

The fourth proportional to 252,262.92, 378,204.75 and 119,067.42 is: 178,511.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,262.92 : 378,204.75 = 119,067.42 : x
  2. Step 2: Convert to fraction form
    252,262.92/378,204.75 = 119,067.42/x
  3. Step 3: Cross multiply
    252,262.92x = 378,204.75 × 119,067.42
  4. Step 4: Simplify right side
    252,262.92x = 45,031,863,814.25
  5. Step 5: Solve for x
    x = 45,031,863,814.25/252,262.92
  6. Step 6: Final answer
    x = 178,511.63

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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.