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Finding the Fourth Proportional to 263,854.88, 395,782.31 and 116,110.88

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Solution

The fourth proportional to 263,854.88, 395,782.31 and 116,110.88 is: 174,166.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,854.88 : 395,782.31 = 116,110.88 : x
  2. Step 2: Convert to fraction form
    263,854.88/395,782.31 = 116,110.88/x
  3. Step 3: Cross multiply
    263,854.88x = 395,782.31 × 116,110.88
  4. Step 4: Simplify right side
    263,854.88x = 45,954,630,613.90
  5. Step 5: Solve for x
    x = 45,954,630,613.90/263,854.88
  6. Step 6: Final answer
    x = 174,166.31

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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.