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Finding the Fourth Proportional to 80,189.16, 120,283.80 and 50,651.88

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Solution

The fourth proportional to 80,189.16, 120,283.80 and 50,651.88 is: 75,977.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,189.16 : 120,283.80 = 50,651.88 : x
  2. Step 2: Convert to fraction form
    80,189.16/120,283.80 = 50,651.88/x
  3. Step 3: Cross multiply
    80,189.16x = 120,283.80 × 50,651.88
  4. Step 4: Simplify right side
    80,189.16x = 6,092,600,603.54
  5. Step 5: Solve for x
    x = 6,092,600,603.54/80,189.16
  6. Step 6: Final answer
    x = 75,977.86

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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.