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Finding the Fourth Proportional to 259,800, 389,711.34 and 82,320.09

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Solution

The fourth proportional to 259,800, 389,711.34 and 82,320.09 is: 123,483.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,800 : 389,711.34 = 82,320.09 : x
  2. Step 2: Convert to fraction form
    259,800/389,711.34 = 82,320.09/x
  3. Step 3: Cross multiply
    259,800x = 389,711.34 × 82,320.09
  4. Step 4: Simplify right side
    259,800x = 32,081,072,582.82
  5. Step 5: Solve for x
    x = 32,081,072,582.82/259,800
  6. Step 6: Final answer
    x = 123,483.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.