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Finding the Fourth Proportional to 78,198.96, 107,913.24 and 44,206.92

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Solution

The fourth proportional to 78,198.96, 107,913.24 and 44,206.92 is: 61,004.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,198.96 : 107,913.24 = 44,206.92 : x
  2. Step 2: Convert to fraction form
    78,198.96/107,913.24 = 44,206.92/x
  3. Step 3: Cross multiply
    78,198.96x = 107,913.24 × 44,206.92
  4. Step 4: Simplify right side
    78,198.96x = 4,770,511,967.62
  5. Step 5: Solve for x
    x = 4,770,511,967.62/78,198.96
  6. Step 6: Final answer
    x = 61,004.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.