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Finding the Fourth Proportional to 217,302.67, 299,853.66 and 120,504.09

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Solution

The fourth proportional to 217,302.67, 299,853.66 and 120,504.09 is: 166,282.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,302.67 : 299,853.66 = 120,504.09 : x
  2. Step 2: Convert to fraction form
    217,302.67/299,853.66 = 120,504.09/x
  3. Step 3: Cross multiply
    217,302.67x = 299,853.66 × 120,504.09
  4. Step 4: Simplify right side
    217,302.67x = 36,133,592,431.47
  5. Step 5: Solve for x
    x = 36,133,592,431.47/217,302.67
  6. Step 6: Final answer
    x = 166,282.32

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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.