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Finding the Fourth Proportional to 199,847.04, 299,562.24 and 81,469.44

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Solution

The fourth proportional to 199,847.04, 299,562.24 and 81,469.44 is: 122,119.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,847.04 : 299,562.24 = 81,469.44 : x
  2. Step 2: Convert to fraction form
    199,847.04/299,562.24 = 81,469.44/x
  3. Step 3: Cross multiply
    199,847.04x = 299,562.24 × 81,469.44
  4. Step 4: Simplify right side
    199,847.04x = 24,405,167,937.95
  5. Step 5: Solve for x
    x = 24,405,167,937.95/199,847.04
  6. Step 6: Final answer
    x = 122,119.24

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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.