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Finding the Fourth Proportional to 217,389.57, 299,997.34 and 120,608.09

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Solution

The fourth proportional to 217,389.57, 299,997.34 and 120,608.09 is: 166,439.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,389.57 : 299,997.34 = 120,608.09 : x
  2. Step 2: Convert to fraction form
    217,389.57/299,997.34 = 120,608.09/x
  3. Step 3: Cross multiply
    217,389.57x = 299,997.34 × 120,608.09
  4. Step 4: Simplify right side
    217,389.57x = 36,182,105,505.96
  5. Step 5: Solve for x
    x = 36,182,105,505.96/217,389.57
  6. Step 6: Final answer
    x = 166,439.01

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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.