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Finding the Fourth Proportional to 263,384, 363,469.92 and 144,152

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Solution

The fourth proportional to 263,384, 363,469.92 and 144,152 is: 198,929.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,384 : 363,469.92 = 144,152 : x
  2. Step 2: Convert to fraction form
    263,384/363,469.92 = 144,152/x
  3. Step 3: Cross multiply
    263,384x = 363,469.92 × 144,152
  4. Step 4: Simplify right side
    263,384x = 52,394,915,907.84
  5. Step 5: Solve for x
    x = 52,394,915,907.84/263,384
  6. Step 6: Final answer
    x = 198,929.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.