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Finding the Fourth Proportional to 263,967.77, 395,951.65 and 121,770.98

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Solution

The fourth proportional to 263,967.77, 395,951.65 and 121,770.98 is: 182,656.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,967.77 : 395,951.65 = 121,770.98 : x
  2. Step 2: Convert to fraction form
    263,967.77/395,951.65 = 121,770.98/x
  3. Step 3: Cross multiply
    263,967.77x = 395,951.65 × 121,770.98
  4. Step 4: Simplify right side
    263,967.77x = 48,215,420,453.12
  5. Step 5: Solve for x
    x = 48,215,420,453.12/263,967.77
  6. Step 6: Final answer
    x = 182,656.47

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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.