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Finding the Fourth Proportional to 80,853.38, 110,769.65 and 77,823.16

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Solution

The fourth proportional to 80,853.38, 110,769.65 and 77,823.16 is: 106,618.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,853.38 : 110,769.65 = 77,823.16 : x
  2. Step 2: Convert to fraction form
    80,853.38/110,769.65 = 77,823.16/x
  3. Step 3: Cross multiply
    80,853.38x = 110,769.65 × 77,823.16
  4. Step 4: Simplify right side
    80,853.38x = 8,620,444,195.09
  5. Step 5: Solve for x
    x = 8,620,444,195.09/80,853.38
  6. Step 6: Final answer
    x = 106,618.23

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.