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Finding the Fourth Proportional to 80,195.22, 120,291.57 and 27,605.16

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Solution

The fourth proportional to 80,195.22, 120,291.57 and 27,605.16 is: 41,407.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,195.22 : 120,291.57 = 27,605.16 : x
  2. Step 2: Convert to fraction form
    80,195.22/120,291.57 = 27,605.16/x
  3. Step 3: Cross multiply
    80,195.22x = 120,291.57 × 27,605.16
  4. Step 4: Simplify right side
    80,195.22x = 3,320,668,036.50
  5. Step 5: Solve for x
    x = 3,320,668,036.50/80,195.22
  6. Step 6: Final answer
    x = 41,407.31

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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.