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Finding the Fourth Proportional to 204,271.54, 306,436 and 54,516.70

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Solution

The fourth proportional to 204,271.54, 306,436 and 54,516.70 is: 81,782.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,271.54 : 306,436 = 54,516.70 : x
  2. Step 2: Convert to fraction form
    204,271.54/306,436 = 54,516.70/x
  3. Step 3: Cross multiply
    204,271.54x = 306,436 × 54,516.70
  4. Step 4: Simplify right side
    204,271.54x = 16,705,879,481.20
  5. Step 5: Solve for x
    x = 16,705,879,481.20/204,271.54
  6. Step 6: Final answer
    x = 81,782.71

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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.