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Finding the Fourth Proportional to 378,821.12, 568,324.24 and 126,101.12

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Solution

The fourth proportional to 378,821.12, 568,324.24 and 126,101.12 is: 189,182.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,821.12 : 568,324.24 = 126,101.12 : x
  2. Step 2: Convert to fraction form
    378,821.12/568,324.24 = 126,101.12/x
  3. Step 3: Cross multiply
    378,821.12x = 568,324.24 × 126,101.12
  4. Step 4: Simplify right side
    378,821.12x = 71,666,323,187.15
  5. Step 5: Solve for x
    x = 71,666,323,187.15/378,821.12
  6. Step 6: Final answer
    x = 189,182.49

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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.