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Finding the Fourth Proportional to 213,633.50, 320,504.97 and 80,514.86

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Solution

The fourth proportional to 213,633.50, 320,504.97 and 80,514.86 is: 120,792.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,633.50 : 320,504.97 = 80,514.86 : x
  2. Step 2: Convert to fraction form
    213,633.50/320,504.97 = 80,514.86/x
  3. Step 3: Cross multiply
    213,633.50x = 320,504.97 × 80,514.86
  4. Step 4: Simplify right side
    213,633.50x = 25,805,412,788.85
  5. Step 5: Solve for x
    x = 25,805,412,788.85/213,633.50
  6. Step 6: Final answer
    x = 120,792.91

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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.