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Finding the Fourth Proportional to 208,141.87, 312,214.62 and 50,370.46

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Solution

The fourth proportional to 208,141.87, 312,214.62 and 50,370.46 is: 75,556.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,141.87 : 312,214.62 = 50,370.46 : x
  2. Step 2: Convert to fraction form
    208,141.87/312,214.62 = 50,370.46/x
  3. Step 3: Cross multiply
    208,141.87x = 312,214.62 × 50,370.46
  4. Step 4: Simplify right side
    208,141.87x = 15,726,394,028.13
  5. Step 5: Solve for x
    x = 15,726,394,028.13/208,141.87
  6. Step 6: Final answer
    x = 75,556.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.