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Finding the Fourth Proportional to 263,764.80, 395,938.80 and 164,037.60

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Solution

The fourth proportional to 263,764.80, 395,938.80 and 164,037.60 is: 246,237.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,764.80 : 395,938.80 = 164,037.60 : x
  2. Step 2: Convert to fraction form
    263,764.80/395,938.80 = 164,037.60/x
  3. Step 3: Cross multiply
    263,764.80x = 395,938.80 × 164,037.60
  4. Step 4: Simplify right side
    263,764.80x = 64,948,850,498.88
  5. Step 5: Solve for x
    x = 64,948,850,498.88/263,764.80
  6. Step 6: Final answer
    x = 246,237.75

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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.