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Finding the Fourth Proportional to 195,687.45, 293,654.70 and 83,367.72

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Solution

The fourth proportional to 195,687.45, 293,654.70 and 83,367.72 is: 125,104.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,687.45 : 293,654.70 = 83,367.72 : x
  2. Step 2: Convert to fraction form
    195,687.45/293,654.70 = 83,367.72/x
  3. Step 3: Cross multiply
    195,687.45x = 293,654.70 × 83,367.72
  4. Step 4: Simplify right side
    195,687.45x = 24,481,322,806.28
  5. Step 5: Solve for x
    x = 24,481,322,806.28/195,687.45
  6. Step 6: Final answer
    x = 125,104.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.