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Finding the Fourth Proportional to 285,498.38, 394,000.68 and 158,173.97

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Solution

The fourth proportional to 285,498.38, 394,000.68 and 158,173.97 is: 218,287.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,498.38 : 394,000.68 = 158,173.97 : x
  2. Step 2: Convert to fraction form
    285,498.38/394,000.68 = 158,173.97/x
  3. Step 3: Cross multiply
    285,498.38x = 394,000.68 × 158,173.97
  4. Step 4: Simplify right side
    285,498.38x = 62,320,651,738.30
  5. Step 5: Solve for x
    x = 62,320,651,738.30/285,498.38
  6. Step 6: Final answer
    x = 218,287.23

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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.