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Finding the Fourth Proportional to 264,801.20, 396,942.60 and 106,818.80

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Solution

The fourth proportional to 264,801.20, 396,942.60 and 106,818.80 is: 160,123.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,801.20 : 396,942.60 = 106,818.80 : x
  2. Step 2: Convert to fraction form
    264,801.20/396,942.60 = 106,818.80/x
  3. Step 3: Cross multiply
    264,801.20x = 396,942.60 × 106,818.80
  4. Step 4: Simplify right side
    264,801.20x = 42,400,932,200.88
  5. Step 5: Solve for x
    x = 42,400,932,200.88/264,801.20
  6. Step 6: Final answer
    x = 160,123.64

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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.