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Finding the Fourth Proportional to 83,162.88, 114,792.12 and 66,198.24

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Solution

The fourth proportional to 83,162.88, 114,792.12 and 66,198.24 is: 91,375.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,162.88 : 114,792.12 = 66,198.24 : x
  2. Step 2: Convert to fraction form
    83,162.88/114,792.12 = 66,198.24/x
  3. Step 3: Cross multiply
    83,162.88x = 114,792.12 × 66,198.24
  4. Step 4: Simplify right side
    83,162.88x = 7,599,036,309.87
  5. Step 5: Solve for x
    x = 7,599,036,309.87/83,162.88
  6. Step 6: Final answer
    x = 91,375.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.