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Finding the Fourth Proportional to 221,945.98, 332,952.12 and 81,693.94

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Solution

The fourth proportional to 221,945.98, 332,952.12 and 81,693.94 is: 122,553.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,945.98 : 332,952.12 = 81,693.94 : x
  2. Step 2: Convert to fraction form
    221,945.98/332,952.12 = 81,693.94/x
  3. Step 3: Cross multiply
    221,945.98x = 332,952.12 × 81,693.94
  4. Step 4: Simplify right side
    221,945.98x = 27,200,170,514.15
  5. Step 5: Solve for x
    x = 27,200,170,514.15/221,945.98
  6. Step 6: Final answer
    x = 122,553.11

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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.