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Finding the Fourth Proportional to 213,034.38, 293,996.82 and 122,418.73

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Solution

The fourth proportional to 213,034.38, 293,996.82 and 122,418.73 is: 168,943.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,034.38 : 293,996.82 = 122,418.73 : x
  2. Step 2: Convert to fraction form
    213,034.38/293,996.82 = 122,418.73/x
  3. Step 3: Cross multiply
    213,034.38x = 293,996.82 × 122,418.73
  4. Step 4: Simplify right side
    213,034.38x = 35,990,717,328.44
  5. Step 5: Solve for x
    x = 35,990,717,328.44/213,034.38
  6. Step 6: Final answer
    x = 168,943.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.