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Finding the Fourth Proportional to 82,003.20, 122,786.10 and 82,003.20

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Solution

The fourth proportional to 82,003.20, 122,786.10 and 82,003.20 is: 122,786.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,003.20 : 122,786.10 = 82,003.20 : x
  2. Step 2: Convert to fraction form
    82,003.20/122,786.10 = 82,003.20/x
  3. Step 3: Cross multiply
    82,003.20x = 122,786.10 × 82,003.20
  4. Step 4: Simplify right side
    82,003.20x = 10,068,853,115.52
  5. Step 5: Solve for x
    x = 10,068,853,115.52/82,003.20
  6. Step 6: Final answer
    x = 122,786.10

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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.