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Finding the Fourth Proportional to 225,662.25, 311,448.21 and 144,025.73

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Solution

The fourth proportional to 225,662.25, 311,448.21 and 144,025.73 is: 198,777.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,662.25 : 311,448.21 = 144,025.73 : x
  2. Step 2: Convert to fraction form
    225,662.25/311,448.21 = 144,025.73/x
  3. Step 3: Cross multiply
    225,662.25x = 311,448.21 × 144,025.73
  4. Step 4: Simplify right side
    225,662.25x = 44,856,554,873.04
  5. Step 5: Solve for x
    x = 44,856,554,873.04/225,662.25
  6. Step 6: Final answer
    x = 198,777.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.