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Finding the Fourth Proportional to 202,993.22, 280,156.82 and 122,464.23

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Solution

The fourth proportional to 202,993.22, 280,156.82 and 122,464.23 is: 169,016.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,993.22 : 280,156.82 = 122,464.23 : x
  2. Step 2: Convert to fraction form
    202,993.22/280,156.82 = 122,464.23/x
  3. Step 3: Cross multiply
    202,993.22x = 280,156.82 × 122,464.23
  4. Step 4: Simplify right side
    202,993.22x = 34,309,189,240.55
  5. Step 5: Solve for x
    x = 34,309,189,240.55/202,993.22
  6. Step 6: Final answer
    x = 169,016.43

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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.