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Finding the Fourth Proportional to 100,704.26, 151,068.69 and 34,163.42

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Solution

The fourth proportional to 100,704.26, 151,068.69 and 34,163.42 is: 51,249.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,704.26 : 151,068.69 = 34,163.42 : x
  2. Step 2: Convert to fraction form
    100,704.26/151,068.69 = 34,163.42/x
  3. Step 3: Cross multiply
    100,704.26x = 151,068.69 × 34,163.42
  4. Step 4: Simplify right side
    100,704.26x = 5,161,023,105.32
  5. Step 5: Solve for x
    x = 5,161,023,105.32/100,704.26
  6. Step 6: Final answer
    x = 51,249.30

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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.