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Finding the Fourth Proportional to 208,149.12, 312,222.24 and 50,378.40

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Solution

The fourth proportional to 208,149.12, 312,222.24 and 50,378.40 is: 75,567.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,149.12 : 312,222.24 = 50,378.40 : x
  2. Step 2: Convert to fraction form
    208,149.12/312,222.24 = 50,378.40/x
  3. Step 3: Cross multiply
    208,149.12x = 312,222.24 × 50,378.40
  4. Step 4: Simplify right side
    208,149.12x = 15,729,256,895.62
  5. Step 5: Solve for x
    x = 15,729,256,895.62/208,149.12
  6. Step 6: Final answer
    x = 75,567.25

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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.