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Finding the Fourth Proportional to 115,993.50, 173,865.87 and 75,997.38

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Solution

The fourth proportional to 115,993.50, 173,865.87 and 75,997.38 is: 113,914.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,993.50 : 173,865.87 = 75,997.38 : x
  2. Step 2: Convert to fraction form
    115,993.50/173,865.87 = 75,997.38/x
  3. Step 3: Cross multiply
    115,993.50x = 173,865.87 × 75,997.38
  4. Step 4: Simplify right side
    115,993.50x = 13,213,350,591.42
  5. Step 5: Solve for x
    x = 13,213,350,591.42/115,993.50
  6. Step 6: Final answer
    x = 113,914.58

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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.