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Finding the Fourth Proportional to 264,578.86, 396,922.97 and 87,096.52

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Solution

The fourth proportional to 264,578.86, 396,922.97 and 87,096.52 is: 130,662.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,578.86 : 396,922.97 = 87,096.52 : x
  2. Step 2: Convert to fraction form
    264,578.86/396,922.97 = 87,096.52/x
  3. Step 3: Cross multiply
    264,578.86x = 396,922.97 × 87,096.52
  4. Step 4: Simplify right side
    264,578.86x = 34,570,608,959.58
  5. Step 5: Solve for x
    x = 34,570,608,959.58/264,578.86
  6. Step 6: Final answer
    x = 130,662.78

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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.