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Finding the Fourth Proportional to 208,245.82, 312,368.73 and 50,474.27

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Solution

The fourth proportional to 208,245.82, 312,368.73 and 50,474.27 is: 75,711.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,245.82 : 312,368.73 = 50,474.27 : x
  2. Step 2: Convert to fraction form
    208,245.82/312,368.73 = 50,474.27/x
  3. Step 3: Cross multiply
    208,245.82x = 312,368.73 × 50,474.27
  4. Step 4: Simplify right side
    208,245.82x = 15,766,584,398.50
  5. Step 5: Solve for x
    x = 15,766,584,398.50/208,245.82
  6. Step 6: Final answer
    x = 75,711.41

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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.