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Finding the Fourth Proportional to 199,815.98, 299,717.01 and 50,057.55

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Solution

The fourth proportional to 199,815.98, 299,717.01 and 50,057.55 is: 75,084.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,815.98 : 299,717.01 = 50,057.55 : x
  2. Step 2: Convert to fraction form
    199,815.98/299,717.01 = 50,057.55/x
  3. Step 3: Cross multiply
    199,815.98x = 299,717.01 × 50,057.55
  4. Step 4: Simplify right side
    199,815.98x = 15,003,099,213.93
  5. Step 5: Solve for x
    x = 15,003,099,213.93/199,815.98
  6. Step 6: Final answer
    x = 75,084.58

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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.