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Finding the Fourth Proportional to 322,109.33, 483,163.46 and 82,223.19

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Solution

The fourth proportional to 322,109.33, 483,163.46 and 82,223.19 is: 123,334.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,109.33 : 483,163.46 = 82,223.19 : x
  2. Step 2: Convert to fraction form
    322,109.33/483,163.46 = 82,223.19/x
  3. Step 3: Cross multiply
    322,109.33x = 483,163.46 × 82,223.19
  4. Step 4: Simplify right side
    322,109.33x = 39,727,240,972.64
  5. Step 5: Solve for x
    x = 39,727,240,972.64/322,109.33
  6. Step 6: Final answer
    x = 123,334.65

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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.