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Finding the Fourth Proportional to 265,571.30, 398,481.32 and 132,461.82

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Solution

The fourth proportional to 265,571.30, 398,481.32 and 132,461.82 is: 198,754.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,571.30 : 398,481.32 = 132,461.82 : x
  2. Step 2: Convert to fraction form
    265,571.30/398,481.32 = 132,461.82/x
  3. Step 3: Cross multiply
    265,571.30x = 398,481.32 × 132,461.82
  4. Step 4: Simplify right side
    265,571.30x = 52,783,560,220.89
  5. Step 5: Solve for x
    x = 52,783,560,220.89/265,571.30
  6. Step 6: Final answer
    x = 198,754.76

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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.