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Finding the Fourth Proportional to 294,163.38, 441,288.81 and 136,407.78

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Solution

The fourth proportional to 294,163.38, 441,288.81 and 136,407.78 is: 204,631.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,163.38 : 441,288.81 = 136,407.78 : x
  2. Step 2: Convert to fraction form
    294,163.38/441,288.81 = 136,407.78/x
  3. Step 3: Cross multiply
    294,163.38x = 441,288.81 × 136,407.78
  4. Step 4: Simplify right side
    294,163.38x = 60,195,226,910.94
  5. Step 5: Solve for x
    x = 60,195,226,910.94/294,163.38
  6. Step 6: Final answer
    x = 204,631.95

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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.