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Finding the Fourth Proportional to 83,008.16, 113,972.50 and 80,843.12

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Solution

The fourth proportional to 83,008.16, 113,972.50 and 80,843.12 is: 110,999.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,008.16 : 113,972.50 = 80,843.12 : x
  2. Step 2: Convert to fraction form
    83,008.16/113,972.50 = 80,843.12/x
  3. Step 3: Cross multiply
    83,008.16x = 113,972.50 × 80,843.12
  4. Step 4: Simplify right side
    83,008.16x = 9,213,892,494.20
  5. Step 5: Solve for x
    x = 9,213,892,494.20/83,008.16
  6. Step 6: Final answer
    x = 110,999.84

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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.