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Finding the Fourth Proportional to 286,164.23, 394,906.32 and 158,839.52

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Solution

The fourth proportional to 286,164.23, 394,906.32 and 158,839.52 is: 219,198.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,164.23 : 394,906.32 = 158,839.52 : x
  2. Step 2: Convert to fraction form
    286,164.23/394,906.32 = 158,839.52/x
  3. Step 3: Cross multiply
    286,164.23x = 394,906.32 × 158,839.52
  4. Step 4: Simplify right side
    286,164.23x = 62,726,728,339.23
  5. Step 5: Solve for x
    x = 62,726,728,339.23/286,164.23
  6. Step 6: Final answer
    x = 219,198.36

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