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Finding the Fourth Proportional to 378,733.44, 568,114.56 and 126,036.48

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Solution

The fourth proportional to 378,733.44, 568,114.56 and 126,036.48 is: 189,059.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,733.44 : 568,114.56 = 126,036.48 : x
  2. Step 2: Convert to fraction form
    378,733.44/568,114.56 = 126,036.48/x
  3. Step 3: Cross multiply
    378,733.44x = 568,114.56 × 126,036.48
  4. Step 4: Simplify right side
    378,733.44x = 71,603,159,379.15
  5. Step 5: Solve for x
    x = 71,603,159,379.15/378,733.44
  6. Step 6: Final answer
    x = 189,059.51

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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.