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Finding the Fourth Proportional to 285,581.38, 394,092.39 and 158,268.82

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Solution

The fourth proportional to 285,581.38, 394,092.39 and 158,268.82 is: 218,405.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,581.38 : 394,092.39 = 158,268.82 : x
  2. Step 2: Convert to fraction form
    285,581.38/394,092.39 = 158,268.82/x
  3. Step 3: Cross multiply
    285,581.38x = 394,092.39 × 158,268.82
  4. Step 4: Simplify right side
    285,581.38x = 62,372,537,536.28
  5. Step 5: Solve for x
    x = 62,372,537,536.28/285,581.38
  6. Step 6: Final answer
    x = 218,405.48

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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.