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Finding the Fourth Proportional to 199,815.50, 299,716.34 and 50,057.10

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Solution

The fourth proportional to 199,815.50, 299,716.34 and 50,057.10 is: 75,083.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,815.50 : 299,716.34 = 50,057.10 : x
  2. Step 2: Convert to fraction form
    199,815.50/299,716.34 = 50,057.10/x
  3. Step 3: Cross multiply
    199,815.50x = 299,716.34 × 50,057.10
  4. Step 4: Simplify right side
    199,815.50x = 15,002,930,803.01
  5. Step 5: Solve for x
    x = 15,002,930,803.01/199,815.50
  6. Step 6: Final answer
    x = 75,083.92

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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.