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Finding the Fourth Proportional to 78,195.87, 107,909.13 and 44,203.16

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Solution

The fourth proportional to 78,195.87, 107,909.13 and 44,203.16 is: 60,999.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,195.87 : 107,909.13 = 44,203.16 : x
  2. Step 2: Convert to fraction form
    78,195.87/107,909.13 = 44,203.16/x
  3. Step 3: Cross multiply
    78,195.87x = 107,909.13 × 44,203.16
  4. Step 4: Simplify right side
    78,195.87x = 4,769,924,538.85
  5. Step 5: Solve for x
    x = 4,769,924,538.85/78,195.87
  6. Step 6: Final answer
    x = 60,999.70

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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.