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Finding the Fourth Proportional to 120,058.21, 165,680.38 and 66,343.22

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Solution

The fourth proportional to 120,058.21, 165,680.38 and 66,343.22 is: 91,553.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,058.21 : 165,680.38 = 66,343.22 : x
  2. Step 2: Convert to fraction form
    120,058.21/165,680.38 = 66,343.22/x
  3. Step 3: Cross multiply
    120,058.21x = 165,680.38 × 66,343.22
  4. Step 4: Simplify right side
    120,058.21x = 10,991,770,521.55
  5. Step 5: Solve for x
    x = 10,991,770,521.55/120,058.21
  6. Step 6: Final answer
    x = 91,553.68

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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.