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Finding the Fourth Proportional to 133,793.28, 200,694.29 and 49,574.61

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Solution

The fourth proportional to 133,793.28, 200,694.29 and 49,574.61 is: 74,363.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,793.28 : 200,694.29 = 49,574.61 : x
  2. Step 2: Convert to fraction form
    133,793.28/200,694.29 = 49,574.61/x
  3. Step 3: Cross multiply
    133,793.28x = 200,694.29 × 49,574.61
  4. Step 4: Simplify right side
    133,793.28x = 9,949,340,908.10
  5. Step 5: Solve for x
    x = 9,949,340,908.10/133,793.28
  6. Step 6: Final answer
    x = 74,363.53

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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.