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Finding the Fourth Proportional to 208,224.27, 312,337.22 and 50,452.47

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Solution

The fourth proportional to 208,224.27, 312,337.22 and 50,452.47 is: 75,678.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,224.27 : 312,337.22 = 50,452.47 : x
  2. Step 2: Convert to fraction form
    208,224.27/312,337.22 = 50,452.47/x
  3. Step 3: Cross multiply
    208,224.27x = 312,337.22 × 50,452.47
  4. Step 4: Simplify right side
    208,224.27x = 15,758,183,969.67
  5. Step 5: Solve for x
    x = 15,758,183,969.67/208,224.27
  6. Step 6: Final answer
    x = 75,678.90

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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.