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Finding the Fourth Proportional to 199,234.64, 298,843.62 and 49,471.70

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Solution

The fourth proportional to 199,234.64, 298,843.62 and 49,471.70 is: 74,205.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,234.64 : 298,843.62 = 49,471.70 : x
  2. Step 2: Convert to fraction form
    199,234.64/298,843.62 = 49,471.70/x
  3. Step 3: Cross multiply
    199,234.64x = 298,843.62 × 49,471.70
  4. Step 4: Simplify right side
    199,234.64x = 14,784,301,915.55
  5. Step 5: Solve for x
    x = 14,784,301,915.55/199,234.64
  6. Step 6: Final answer
    x = 74,205.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.