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Finding the Fourth Proportional to 263,663.80, 395,625.30 and 123,398.20

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Solution

The fourth proportional to 263,663.80, 395,625.30 and 123,398.20 is: 185,157.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,663.80 : 395,625.30 = 123,398.20 : x
  2. Step 2: Convert to fraction form
    263,663.80/395,625.30 = 123,398.20/x
  3. Step 3: Cross multiply
    263,663.80x = 395,625.30 × 123,398.20
  4. Step 4: Simplify right side
    263,663.80x = 48,819,449,894.46
  5. Step 5: Solve for x
    x = 48,819,449,894.46/263,663.80
  6. Step 6: Final answer
    x = 185,157.95

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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.