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Finding the Fourth Proportional to 324,136.12, 447,233.50 and 195,039.94

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Solution

The fourth proportional to 324,136.12, 447,233.50 and 195,039.94 is: 269,110.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,136.12 : 447,233.50 = 195,039.94 : x
  2. Step 2: Convert to fraction form
    324,136.12/447,233.50 = 195,039.94/x
  3. Step 3: Cross multiply
    324,136.12x = 447,233.50 × 195,039.94
  4. Step 4: Simplify right side
    324,136.12x = 87,228,395,005.99
  5. Step 5: Solve for x
    x = 87,228,395,005.99/324,136.12
  6. Step 6: Final answer
    x = 269,110.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.