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Finding the Fourth Proportional to 275,194.98, 412,792.92 and 75,518.10

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Solution

The fourth proportional to 275,194.98, 412,792.92 and 75,518.10 is: 113,277.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,194.98 : 412,792.92 = 75,518.10 : x
  2. Step 2: Convert to fraction form
    275,194.98/412,792.92 = 75,518.10/x
  3. Step 3: Cross multiply
    275,194.98x = 412,792.92 × 75,518.10
  4. Step 4: Simplify right side
    275,194.98x = 31,173,337,011.85
  5. Step 5: Solve for x
    x = 31,173,337,011.85/275,194.98
  6. Step 6: Final answer
    x = 113,277.27

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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.