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Finding the Fourth Proportional to 227,959.72, 341,633.90 and 177,419.78

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Solution

The fourth proportional to 227,959.72, 341,633.90 and 177,419.78 is: 265,891.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,959.72 : 341,633.90 = 177,419.78 : x
  2. Step 2: Convert to fraction form
    227,959.72/341,633.90 = 177,419.78/x
  3. Step 3: Cross multiply
    227,959.72x = 341,633.90 × 177,419.78
  4. Step 4: Simplify right side
    227,959.72x = 60,612,611,378.54
  5. Step 5: Solve for x
    x = 60,612,611,378.54/227,959.72
  6. Step 6: Final answer
    x = 265,891.76

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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.