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Finding the Fourth Proportional to 200,217.74, 300,323.07 and 50,454.68

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Solution

The fourth proportional to 200,217.74, 300,323.07 and 50,454.68 is: 75,681.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,217.74 : 300,323.07 = 50,454.68 : x
  2. Step 2: Convert to fraction form
    200,217.74/300,323.07 = 50,454.68/x
  3. Step 3: Cross multiply
    200,217.74x = 300,323.07 × 50,454.68
  4. Step 4: Simplify right side
    200,217.74x = 15,152,702,891.85
  5. Step 5: Solve for x
    x = 15,152,702,891.85/200,217.74
  6. Step 6: Final answer
    x = 75,681.12

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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.