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Finding the Fourth Proportional to 208,240.36, 312,357.84 and 50,470.18

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Solution

The fourth proportional to 208,240.36, 312,357.84 and 50,470.18 is: 75,704.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,240.36 : 312,357.84 = 50,470.18 : x
  2. Step 2: Convert to fraction form
    208,240.36/312,357.84 = 50,470.18/x
  3. Step 3: Cross multiply
    208,240.36x = 312,357.84 × 50,470.18
  4. Step 4: Simplify right side
    208,240.36x = 15,764,756,409.21
  5. Step 5: Solve for x
    x = 15,764,756,409.21/208,240.36
  6. Step 6: Final answer
    x = 75,704.62

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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.