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Finding the Fourth Proportional to 193,082.80, 289,602.84 and 50,942.48

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Solution

The fourth proportional to 193,082.80, 289,602.84 and 50,942.48 is: 76,408.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,082.80 : 289,602.84 = 50,942.48 : x
  2. Step 2: Convert to fraction form
    193,082.80/289,602.84 = 50,942.48/x
  3. Step 3: Cross multiply
    193,082.80x = 289,602.84 × 50,942.48
  4. Step 4: Simplify right side
    193,082.80x = 14,753,086,884.64
  5. Step 5: Solve for x
    x = 14,753,086,884.64/193,082.80
  6. Step 6: Final answer
    x = 76,408.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.