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Finding the Fourth Proportional to 195,067.88, 269,193.67 and 105,643.88

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Solution

The fourth proportional to 195,067.88, 269,193.67 and 105,643.88 is: 145,788.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,067.88 : 269,193.67 = 105,643.88 : x
  2. Step 2: Convert to fraction form
    195,067.88/269,193.67 = 105,643.88/x
  3. Step 3: Cross multiply
    195,067.88x = 269,193.67 × 105,643.88
  4. Step 4: Simplify right side
    195,067.88x = 28,438,662,160.16
  5. Step 5: Solve for x
    x = 28,438,662,160.16/195,067.88
  6. Step 6: Final answer
    x = 145,788.55

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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.