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Finding the Fourth Proportional to 294,161.38, 441,285.81 and 136,405.78

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Solution

The fourth proportional to 294,161.38, 441,285.81 and 136,405.78 is: 204,628.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,161.38 : 441,285.81 = 136,405.78 : x
  2. Step 2: Convert to fraction form
    294,161.38/441,285.81 = 136,405.78/x
  3. Step 3: Cross multiply
    294,161.38x = 441,285.81 × 136,405.78
  4. Step 4: Simplify right side
    294,161.38x = 60,193,935,115.98
  5. Step 5: Solve for x
    x = 60,193,935,115.98/294,161.38
  6. Step 6: Final answer
    x = 204,628.95

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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.