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Finding the Fourth Proportional to 218,522.64, 301,540.41 and 161,193

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Solution

The fourth proportional to 218,522.64, 301,540.41 and 161,193 is: 222,430.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,522.64 : 301,540.41 = 161,193 : x
  2. Step 2: Convert to fraction form
    218,522.64/301,540.41 = 161,193/x
  3. Step 3: Cross multiply
    218,522.64x = 301,540.41 × 161,193
  4. Step 4: Simplify right side
    218,522.64x = 48,606,203,309.13
  5. Step 5: Solve for x
    x = 48,606,203,309.13/218,522.64
  6. Step 6: Final answer
    x = 222,430.97

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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.