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Finding the Fourth Proportional to 322,021.22, 483,044.82 and 82,141.34

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Solution

The fourth proportional to 322,021.22, 483,044.82 and 82,141.34 is: 123,215.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,021.22 : 483,044.82 = 82,141.34 : x
  2. Step 2: Convert to fraction form
    322,021.22/483,044.82 = 82,141.34/x
  3. Step 3: Cross multiply
    322,021.22x = 483,044.82 × 82,141.34
  4. Step 4: Simplify right side
    322,021.22x = 39,677,948,794.86
  5. Step 5: Solve for x
    x = 39,677,948,794.86/322,021.22
  6. Step 6: Final answer
    x = 123,215.32

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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.