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Finding the Fourth Proportional to 80,771.80, 120,869.70 and 51,203.80

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Solution

The fourth proportional to 80,771.80, 120,869.70 and 51,203.80 is: 76,623.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,771.80 : 120,869.70 = 51,203.80 : x
  2. Step 2: Convert to fraction form
    80,771.80/120,869.70 = 51,203.80/x
  3. Step 3: Cross multiply
    80,771.80x = 120,869.70 × 51,203.80
  4. Step 4: Simplify right side
    80,771.80x = 6,188,987,944.86
  5. Step 5: Solve for x
    x = 6,188,987,944.86/80,771.80
  6. Step 6: Final answer
    x = 76,623.13

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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.