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Finding the Fourth Proportional to 220,408.11, 304,163.10 and 119,806.11

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Solution

The fourth proportional to 220,408.11, 304,163.10 and 119,806.11 is: 165,332.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,408.11 : 304,163.10 = 119,806.11 : x
  2. Step 2: Convert to fraction form
    220,408.11/304,163.10 = 119,806.11/x
  3. Step 3: Cross multiply
    220,408.11x = 304,163.10 × 119,806.11
  4. Step 4: Simplify right side
    220,408.11x = 36,440,597,816.54
  5. Step 5: Solve for x
    x = 36,440,597,816.54/220,408.11
  6. Step 6: Final answer
    x = 165,332.38

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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.