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Finding the Fourth Proportional to 217,096.13, 299,588.22 and 120,299.18

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Solution

The fourth proportional to 217,096.13, 299,588.22 and 120,299.18 is: 166,010.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,096.13 : 299,588.22 = 120,299.18 : x
  2. Step 2: Convert to fraction form
    217,096.13/299,588.22 = 120,299.18/x
  3. Step 3: Cross multiply
    217,096.13x = 299,588.22 × 120,299.18
  4. Step 4: Simplify right side
    217,096.13x = 36,040,215,705.72
  5. Step 5: Solve for x
    x = 36,040,215,705.72/217,096.13
  6. Step 6: Final answer
    x = 166,010.40

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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.