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Finding the Fourth Proportional to 197,801.21, 296,377.43 and 83,857.97

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Solution

The fourth proportional to 197,801.21, 296,377.43 and 83,857.97 is: 125,649.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,801.21 : 296,377.43 = 83,857.97 : x
  2. Step 2: Convert to fraction form
    197,801.21/296,377.43 = 83,857.97/x
  3. Step 3: Cross multiply
    197,801.21x = 296,377.43 × 83,857.97
  4. Step 4: Simplify right side
    197,801.21x = 24,853,609,633.62
  5. Step 5: Solve for x
    x = 24,853,609,633.62/197,801.21
  6. Step 6: Final answer
    x = 125,649.43

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