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Finding the Fourth Proportional to 197,586.82, 296,380.68 and 113,893.97

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Solution

The fourth proportional to 197,586.82, 296,380.68 and 113,893.97 is: 170,841.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,586.82 : 296,380.68 = 113,893.97 : x
  2. Step 2: Convert to fraction form
    197,586.82/296,380.68 = 113,893.97/x
  3. Step 3: Cross multiply
    197,586.82x = 296,380.68 × 113,893.97
  4. Step 4: Simplify right side
    197,586.82x = 33,755,972,276.50
  5. Step 5: Solve for x
    x = 33,755,972,276.50/197,586.82
  6. Step 6: Final answer
    x = 170,841.22

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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.