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Finding the Fourth Proportional to 167,082.42, 230,523.35 and 102,485.27

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Solution

The fourth proportional to 167,082.42, 230,523.35 and 102,485.27 is: 141,398.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,082.42 : 230,523.35 = 102,485.27 : x
  2. Step 2: Convert to fraction form
    167,082.42/230,523.35 = 102,485.27/x
  3. Step 3: Cross multiply
    167,082.42x = 230,523.35 × 102,485.27
  4. Step 4: Simplify right side
    167,082.42x = 23,625,247,766.05
  5. Step 5: Solve for x
    x = 23,625,247,766.05/167,082.42
  6. Step 6: Final answer
    x = 141,398.76

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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.