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Finding the Fourth Proportional to 120,384.29, 166,157.97 and 80,099.75

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Solution

The fourth proportional to 120,384.29, 166,157.97 and 80,099.75 is: 110,556.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,384.29 : 166,157.97 = 80,099.75 : x
  2. Step 2: Convert to fraction form
    120,384.29/166,157.97 = 80,099.75/x
  3. Step 3: Cross multiply
    120,384.29x = 166,157.97 × 80,099.75
  4. Step 4: Simplify right side
    120,384.29x = 13,309,211,857.51
  5. Step 5: Solve for x
    x = 13,309,211,857.51/120,384.29
  6. Step 6: Final answer
    x = 110,556.05

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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.