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Finding the Fourth Proportional to 199,067.75, 274,713.50 and 109,643.75

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Solution

The fourth proportional to 199,067.75, 274,713.50 and 109,643.75 is: 151,308.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,067.75 : 274,713.50 = 109,643.75 : x
  2. Step 2: Convert to fraction form
    199,067.75/274,713.50 = 109,643.75/x
  3. Step 3: Cross multiply
    199,067.75x = 274,713.50 × 109,643.75
  4. Step 4: Simplify right side
    199,067.75x = 30,120,618,315.63
  5. Step 5: Solve for x
    x = 30,120,618,315.63/199,067.75
  6. Step 6: Final answer
    x = 151,308.38

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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.