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Finding the Fourth Proportional to 100,819.56, 151,251.84 and 30,704.28

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Solution

The fourth proportional to 100,819.56, 151,251.84 and 30,704.28 is: 46,063.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,819.56 : 151,251.84 = 30,704.28 : x
  2. Step 2: Convert to fraction form
    100,819.56/151,251.84 = 30,704.28/x
  3. Step 3: Cross multiply
    100,819.56x = 151,251.84 × 30,704.28
  4. Step 4: Simplify right side
    100,819.56x = 4,644,078,845.88
  5. Step 5: Solve for x
    x = 4,644,078,845.88/100,819.56
  6. Step 6: Final answer
    x = 46,063.27

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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.