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Finding the Fourth Proportional to 275,245.82, 412,616.32 and 106,722.89

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Solution

The fourth proportional to 275,245.82, 412,616.32 and 106,722.89 is: 159,986.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,245.82 : 412,616.32 = 106,722.89 : x
  2. Step 2: Convert to fraction form
    275,245.82/412,616.32 = 106,722.89/x
  3. Step 3: Cross multiply
    275,245.82x = 412,616.32 × 106,722.89
  4. Step 4: Simplify right side
    275,245.82x = 44,035,606,896.30
  5. Step 5: Solve for x
    x = 44,035,606,896.30/275,245.82
  6. Step 6: Final answer
    x = 159,986.47

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1.5x scale

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.