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Finding the Fourth Proportional to 199,807.64, 299,704.54 and 50,049.22

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Solution

The fourth proportional to 199,807.64, 299,704.54 and 50,049.22 is: 75,072.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,807.64 : 299,704.54 = 50,049.22 : x
  2. Step 2: Convert to fraction form
    199,807.64/299,704.54 = 50,049.22/x
  3. Step 3: Cross multiply
    199,807.64x = 299,704.54 × 50,049.22
  4. Step 4: Simplify right side
    199,807.64x = 14,999,977,021.50
  5. Step 5: Solve for x
    x = 14,999,977,021.50/199,807.64
  6. Step 6: Final answer
    x = 75,072.09

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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.