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Finding the Fourth Proportional to 196,082.78, 270,840.87 and 161,751.92

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Solution

The fourth proportional to 196,082.78, 270,840.87 and 161,751.92 is: 223,421.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,082.78 : 270,840.87 = 161,751.92 : x
  2. Step 2: Convert to fraction form
    196,082.78/270,840.87 = 161,751.92/x
  3. Step 3: Cross multiply
    196,082.78x = 270,840.87 × 161,751.92
  4. Step 4: Simplify right side
    196,082.78x = 43,809,029,382.77
  5. Step 5: Solve for x
    x = 43,809,029,382.77/196,082.78
  6. Step 6: Final answer
    x = 223,421.10

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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.