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Finding the Fourth Proportional to 263,844, 395,766 and 116,100

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Solution

The fourth proportional to 263,844, 395,766 and 116,100 is: 174,150

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,844 : 395,766 = 116,100 : x
  2. Step 2: Convert to fraction form
    263,844/395,766 = 116,100/x
  3. Step 3: Cross multiply
    263,844x = 395,766 × 116,100
  4. Step 4: Simplify right side
    263,844x = 45,948,432,600
  5. Step 5: Solve for x
    x = 45,948,432,600/263,844
  6. Step 6: Final answer
    x = 174,150

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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.