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Finding the Fourth Proportional to 200,877.66, 301,414.41 and 82,584.54

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Solution

The fourth proportional to 200,877.66, 301,414.41 and 82,584.54 is: 123,917.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,877.66 : 301,414.41 = 82,584.54 : x
  2. Step 2: Convert to fraction form
    200,877.66/301,414.41 = 82,584.54/x
  3. Step 3: Cross multiply
    200,877.66x = 301,414.41 × 82,584.54
  4. Step 4: Simplify right side
    200,877.66x = 24,892,170,399.22
  5. Step 5: Solve for x
    x = 24,892,170,399.22/200,877.66
  6. Step 6: Final answer
    x = 123,917.07

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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.