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Finding the Fourth Proportional to 100,391.98, 138,542.22 and 55,067

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Solution

The fourth proportional to 100,391.98, 138,542.22 and 55,067 is: 75,993.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,391.98 : 138,542.22 = 55,067 : x
  2. Step 2: Convert to fraction form
    100,391.98/138,542.22 = 55,067/x
  3. Step 3: Cross multiply
    100,391.98x = 138,542.22 × 55,067
  4. Step 4: Simplify right side
    100,391.98x = 7,629,104,428.74
  5. Step 5: Solve for x
    x = 7,629,104,428.74/100,391.98
  6. Step 6: Final answer
    x = 75,993.17

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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.