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Finding the Fourth Proportional to 101,149.20, 151,723.80 and 82,122.30

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Solution

The fourth proportional to 101,149.20, 151,723.80 and 82,122.30 is: 123,183.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,149.20 : 151,723.80 = 82,122.30 : x
  2. Step 2: Convert to fraction form
    101,149.20/151,723.80 = 82,122.30/x
  3. Step 3: Cross multiply
    101,149.20x = 151,723.80 × 82,122.30
  4. Step 4: Simplify right side
    101,149.20x = 12,459,907,420.74
  5. Step 5: Solve for x
    x = 12,459,907,420.74/101,149.20
  6. Step 6: Final answer
    x = 123,183.45

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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.