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Finding the Fourth Proportional to 220,042.44, 331,257.87 and 197,181

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Solution

The fourth proportional to 220,042.44, 331,257.87 and 197,181 is: 296,841.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,042.44 : 331,257.87 = 197,181 : x
  2. Step 2: Convert to fraction form
    220,042.44/331,257.87 = 197,181/x
  3. Step 3: Cross multiply
    220,042.44x = 331,257.87 × 197,181
  4. Step 4: Simplify right side
    220,042.44x = 65,317,758,064.47
  5. Step 5: Solve for x
    x = 65,317,758,064.47/220,042.44
  6. Step 6: Final answer
    x = 296,841.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.