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Finding the Fourth Proportional to 105,540.80, 158,080.80 and 81,982.40

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Solution

The fourth proportional to 105,540.80, 158,080.80 and 81,982.40 is: 122,794.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,540.80 : 158,080.80 = 81,982.40 : x
  2. Step 2: Convert to fraction form
    105,540.80/158,080.80 = 81,982.40/x
  3. Step 3: Cross multiply
    105,540.80x = 158,080.80 × 81,982.40
  4. Step 4: Simplify right side
    105,540.80x = 12,959,843,377.92
  5. Step 5: Solve for x
    x = 12,959,843,377.92/105,540.80
  6. Step 6: Final answer
    x = 122,794.63

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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.