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Finding the Fourth Proportional to 225,738.54, 311,456.16 and 177,843.24

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Solution

The fourth proportional to 225,738.54, 311,456.16 and 177,843.24 is: 245,374.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,738.54 : 311,456.16 = 177,843.24 : x
  2. Step 2: Convert to fraction form
    225,738.54/311,456.16 = 177,843.24/x
  3. Step 3: Cross multiply
    225,738.54x = 311,456.16 × 177,843.24
  4. Step 4: Simplify right side
    225,738.54x = 55,390,372,612.36
  5. Step 5: Solve for x
    x = 55,390,372,612.36/225,738.54
  6. Step 6: Final answer
    x = 245,374.02

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1.5x scale

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.