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Finding the Fourth Proportional to 195,893.97, 293,951.67 and 83,563.57

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Solution

The fourth proportional to 195,893.97, 293,951.67 and 83,563.57 is: 125,392.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,893.97 : 293,951.67 = 83,563.57 : x
  2. Step 2: Convert to fraction form
    195,893.97/293,951.67 = 83,563.57/x
  3. Step 3: Cross multiply
    195,893.97x = 293,951.67 × 83,563.57
  4. Step 4: Simplify right side
    195,893.97x = 24,563,651,583.09
  5. Step 5: Solve for x
    x = 24,563,651,583.09/195,893.97
  6. Step 6: Final answer
    x = 125,392.59

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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.