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Finding the Fourth Proportional to 225,732.54, 311,447.88 and 177,837.24

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Solution

The fourth proportional to 225,732.54, 311,447.88 and 177,837.24 is: 245,365.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,732.54 : 311,447.88 = 177,837.24 : x
  2. Step 2: Convert to fraction form
    225,732.54/311,447.88 = 177,837.24/x
  3. Step 3: Cross multiply
    225,732.54x = 311,447.88 × 177,837.24
  4. Step 4: Simplify right side
    225,732.54x = 55,387,031,383.05
  5. Step 5: Solve for x
    x = 55,387,031,383.05/225,732.54
  6. Step 6: Final answer
    x = 245,365.74

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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.