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Finding the Fourth Proportional to 225,740.56, 311,458.92 and 177,845.24

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Solution

The fourth proportional to 225,740.56, 311,458.92 and 177,845.24 is: 245,376.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,740.56 : 311,458.92 = 177,845.24 : x
  2. Step 2: Convert to fraction form
    225,740.56/311,458.92 = 177,845.24/x
  3. Step 3: Cross multiply
    225,740.56x = 311,458.92 × 177,845.24
  4. Step 4: Simplify right side
    225,740.56x = 55,391,486,377.54
  5. Step 5: Solve for x
    x = 55,391,486,377.54/225,740.56
  6. Step 6: Final answer
    x = 245,376.76

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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.