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Finding the Fourth Proportional to 263,405.67, 363,499.79 and 142,546.95

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Solution

The fourth proportional to 263,405.67, 363,499.79 and 142,546.95 is: 196,714.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,405.67 : 363,499.79 = 142,546.95 : x
  2. Step 2: Convert to fraction form
    263,405.67/363,499.79 = 142,546.95/x
  3. Step 3: Cross multiply
    263,405.67x = 363,499.79 × 142,546.95
  4. Step 4: Simplify right side
    263,405.67x = 51,815,786,390.14
  5. Step 5: Solve for x
    x = 51,815,786,390.14/263,405.67
  6. Step 6: Final answer
    x = 196,714.77

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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.