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Finding the Fourth Proportional to 281,664.80, 422,650.80 and 115,469.60

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Solution

The fourth proportional to 281,664.80, 422,650.80 and 115,469.60 is: 173,267.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,664.80 : 422,650.80 = 115,469.60 : x
  2. Step 2: Convert to fraction form
    281,664.80/422,650.80 = 115,469.60/x
  3. Step 3: Cross multiply
    281,664.80x = 422,650.80 × 115,469.60
  4. Step 4: Simplify right side
    281,664.80x = 48,803,318,815.68
  5. Step 5: Solve for x
    x = 48,803,318,815.68/281,664.80
  6. Step 6: Final answer
    x = 173,267.37

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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.