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Finding the Fourth Proportional to 275,807.73, 413,680.62 and 76,156.50

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Solution

The fourth proportional to 275,807.73, 413,680.62 and 76,156.50 is: 114,226.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,807.73 : 413,680.62 = 76,156.50 : x
  2. Step 2: Convert to fraction form
    275,807.73/413,680.62 = 76,156.50/x
  3. Step 3: Cross multiply
    275,807.73x = 413,680.62 × 76,156.50
  4. Step 4: Simplify right side
    275,807.73x = 31,504,469,545.54
  5. Step 5: Solve for x
    x = 31,504,469,545.54/275,807.73
  6. Step 6: Final answer
    x = 114,226.20

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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.