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Finding the Fourth Proportional to 281,845.77, 422,763.78 and 94,857.27

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Solution

The fourth proportional to 281,845.77, 422,763.78 and 94,857.27 is: 142,284.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,845.77 : 422,763.78 = 94,857.27 : x
  2. Step 2: Convert to fraction form
    281,845.77/422,763.78 = 94,857.27/x
  3. Step 3: Cross multiply
    281,845.77x = 422,763.78 × 94,857.27
  4. Step 4: Simplify right side
    281,845.77x = 40,102,218,025.68
  5. Step 5: Solve for x
    x = 40,102,218,025.68/281,845.77
  6. Step 6: Final answer
    x = 142,284.26

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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.