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Finding the Fourth Proportional to 80,708.80, 120,917.40 and 65,837.20

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Solution

The fourth proportional to 80,708.80, 120,917.40 and 65,837.20 is: 98,636.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,708.80 : 120,917.40 = 65,837.20 : x
  2. Step 2: Convert to fraction form
    80,708.80/120,917.40 = 65,837.20/x
  3. Step 3: Cross multiply
    80,708.80x = 120,917.40 × 65,837.20
  4. Step 4: Simplify right side
    80,708.80x = 7,960,863,047.28
  5. Step 5: Solve for x
    x = 7,960,863,047.28/80,708.80
  6. Step 6: Final answer
    x = 98,636.87

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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.