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Finding the Fourth Proportional to 78,310.80, 117,388.98 and 50,150.88

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Solution

The fourth proportional to 78,310.80, 117,388.98 and 50,150.88 is: 75,176.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,310.80 : 117,388.98 = 50,150.88 : x
  2. Step 2: Convert to fraction form
    78,310.80/117,388.98 = 50,150.88/x
  3. Step 3: Cross multiply
    78,310.80x = 117,388.98 × 50,150.88
  4. Step 4: Simplify right side
    78,310.80x = 5,887,160,649.30
  5. Step 5: Solve for x
    x = 5,887,160,649.30/78,310.80
  6. Step 6: Final answer
    x = 75,176.87

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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.