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Finding the Fourth Proportional to 133,198.70, 199,824.17 and 48,959.57

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Solution

The fourth proportional to 133,198.70, 199,824.17 and 48,959.57 is: 73,448.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,198.70 : 199,824.17 = 48,959.57 : x
  2. Step 2: Convert to fraction form
    133,198.70/199,824.17 = 48,959.57/x
  3. Step 3: Cross multiply
    133,198.70x = 199,824.17 × 48,959.57
  4. Step 4: Simplify right side
    133,198.70x = 9,783,305,693.57
  5. Step 5: Solve for x
    x = 9,783,305,693.57/133,198.70
  6. Step 6: Final answer
    x = 73,448.96

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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.