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Finding the Fourth Proportional to 284,913.78, 427,249.17 and 85,230.96

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Solution

The fourth proportional to 284,913.78, 427,249.17 and 85,230.96 is: 127,810.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,913.78 : 427,249.17 = 85,230.96 : x
  2. Step 2: Convert to fraction form
    284,913.78/427,249.17 = 85,230.96/x
  3. Step 3: Cross multiply
    284,913.78x = 427,249.17 × 85,230.96
  4. Step 4: Simplify right side
    284,913.78x = 36,414,856,918.30
  5. Step 5: Solve for x
    x = 36,414,856,918.30/284,913.78
  6. Step 6: Final answer
    x = 127,810.09

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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.