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Finding the Fourth Proportional to 263,675.93, 363,772.35 and 194,930.46

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Solution

The fourth proportional to 263,675.93, 363,772.35 and 194,930.46 is: 268,929.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,675.93 : 363,772.35 = 194,930.46 : x
  2. Step 2: Convert to fraction form
    263,675.93/363,772.35 = 194,930.46/x
  3. Step 3: Cross multiply
    263,675.93x = 363,772.35 × 194,930.46
  4. Step 4: Simplify right side
    263,675.93x = 70,910,311,520.78
  5. Step 5: Solve for x
    x = 70,910,311,520.78/263,675.93
  6. Step 6: Final answer
    x = 268,929.79

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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.