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Finding the Fourth Proportional to 204,846.72, 282,472.92 and 161,754.72

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Solution

The fourth proportional to 204,846.72, 282,472.92 and 161,754.72 is: 223,051.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,846.72 : 282,472.92 = 161,754.72 : x
  2. Step 2: Convert to fraction form
    204,846.72/282,472.92 = 161,754.72/x
  3. Step 3: Cross multiply
    204,846.72x = 282,472.92 × 161,754.72
  4. Step 4: Simplify right side
    204,846.72x = 45,691,328,082.18
  5. Step 5: Solve for x
    x = 45,691,328,082.18/204,846.72
  6. Step 6: Final answer
    x = 223,051.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.