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Finding the Fourth Proportional to 227,857.73, 341,834.99 and 78,057.78

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Solution

The fourth proportional to 227,857.73, 341,834.99 and 78,057.78 is: 117,103.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,857.73 : 341,834.99 = 78,057.78 : x
  2. Step 2: Convert to fraction form
    227,857.73/341,834.99 = 78,057.78/x
  3. Step 3: Cross multiply
    227,857.73x = 341,834.99 × 78,057.78
  4. Step 4: Simplify right side
    227,857.73x = 26,682,878,773.55
  5. Step 5: Solve for x
    x = 26,682,878,773.55/227,857.73
  6. Step 6: Final answer
    x = 117,103.24

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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.