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Finding the Fourth Proportional to 275,900.98, 413,847.36 and 76,216.94

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Solution

The fourth proportional to 275,900.98, 413,847.36 and 76,216.94 is: 114,324.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,900.98 : 413,847.36 = 76,216.94 : x
  2. Step 2: Convert to fraction form
    275,900.98/413,847.36 = 76,216.94/x
  3. Step 3: Cross multiply
    275,900.98x = 413,847.36 × 76,216.94
  4. Step 4: Simplify right side
    275,900.98x = 31,542,180,440.90
  5. Step 5: Solve for x
    x = 31,542,180,440.90/275,900.98
  6. Step 6: Final answer
    x = 114,324.28

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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.