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Finding the Fourth Proportional to 195,801.94, 293,723.42 and 83,494.02

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Solution

The fourth proportional to 195,801.94, 293,723.42 and 83,494.02 is: 125,249.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,801.94 : 293,723.42 = 83,494.02 : x
  2. Step 2: Convert to fraction form
    195,801.94/293,723.42 = 83,494.02/x
  3. Step 3: Cross multiply
    195,801.94x = 293,723.42 × 83,494.02
  4. Step 4: Simplify right side
    195,801.94x = 24,524,149,787.94
  5. Step 5: Solve for x
    x = 24,524,149,787.94/195,801.94
  6. Step 6: Final answer
    x = 125,249.78

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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.