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Finding the Fourth Proportional to 83,008.66, 113,973.19 and 80,843.62

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Solution

The fourth proportional to 83,008.66, 113,973.19 and 80,843.62 is: 111,000.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,008.66 : 113,973.19 = 80,843.62 : x
  2. Step 2: Convert to fraction form
    83,008.66/113,973.19 = 80,843.62/x
  3. Step 3: Cross multiply
    83,008.66x = 113,973.19 × 80,843.62
  4. Step 4: Simplify right side
    83,008.66x = 9,214,004,858.33
  5. Step 5: Solve for x
    x = 9,214,004,858.33/83,008.66
  6. Step 6: Final answer
    x = 111,000.53

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1.5x scale

Why These Related Problems?

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