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Finding the Fourth Proportional to 204,903.81, 307,355.72 and 55,144.43

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Solution

The fourth proportional to 204,903.81, 307,355.72 and 55,144.43 is: 82,716.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,903.81 : 307,355.72 = 55,144.43 : x
  2. Step 2: Convert to fraction form
    204,903.81/307,355.72 = 55,144.43/x
  3. Step 3: Cross multiply
    204,903.81x = 307,355.72 × 55,144.43
  4. Step 4: Simplify right side
    204,903.81x = 16,948,954,174.14
  5. Step 5: Solve for x
    x = 16,948,954,174.14/204,903.81
  6. Step 6: Final answer
    x = 82,716.64

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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.