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Finding the Fourth Proportional to 199,067.63, 274,713.32 and 109,643.63

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Solution

The fourth proportional to 199,067.63, 274,713.32 and 109,643.63 is: 151,308.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,067.63 : 274,713.32 = 109,643.63 : x
  2. Step 2: Convert to fraction form
    199,067.63/274,713.32 = 109,643.63/x
  3. Step 3: Cross multiply
    199,067.63x = 274,713.32 × 109,643.63
  4. Step 4: Simplify right side
    199,067.63x = 30,120,564,514.69
  5. Step 5: Solve for x
    x = 30,120,564,514.69/199,067.63
  6. Step 6: Final answer
    x = 151,308.20

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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.