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Finding the Fourth Proportional to 217,061.34, 299,546.91 and 120,268.16

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Solution

The fourth proportional to 217,061.34, 299,546.91 and 120,268.16 is: 165,971.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,061.34 : 299,546.91 = 120,268.16 : x
  2. Step 2: Convert to fraction form
    217,061.34/299,546.91 = 120,268.16/x
  3. Step 3: Cross multiply
    217,061.34x = 299,546.91 × 120,268.16
  4. Step 4: Simplify right side
    217,061.34x = 36,025,954,201.65
  5. Step 5: Solve for x
    x = 36,025,954,201.65/217,061.34
  6. Step 6: Final answer
    x = 165,971.31

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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.