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Finding the Fourth Proportional to 208,245.92, 312,368.89 and 50,474.37

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Solution

The fourth proportional to 208,245.92, 312,368.89 and 50,474.37 is: 75,711.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,245.92 : 312,368.89 = 50,474.37 : x
  2. Step 2: Convert to fraction form
    208,245.92/312,368.89 = 50,474.37/x
  3. Step 3: Cross multiply
    208,245.92x = 312,368.89 × 50,474.37
  4. Step 4: Simplify right side
    208,245.92x = 15,766,622,930.35
  5. Step 5: Solve for x
    x = 15,766,622,930.35/208,245.92
  6. Step 6: Final answer
    x = 75,711.56

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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.