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Finding the Fourth Proportional to 160,906.26, 222,058.23 and 89,286.87

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Solution

The fourth proportional to 160,906.26, 222,058.23 and 89,286.87 is: 123,220.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,906.26 : 222,058.23 = 89,286.87 : x
  2. Step 2: Convert to fraction form
    160,906.26/222,058.23 = 89,286.87/x
  3. Step 3: Cross multiply
    160,906.26x = 222,058.23 × 89,286.87
  4. Step 4: Simplify right side
    160,906.26x = 19,826,884,314.44
  5. Step 5: Solve for x
    x = 19,826,884,314.44/160,906.26
  6. Step 6: Final answer
    x = 123,220.09

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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.