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Finding the Fourth Proportional to 263,597.67, 363,764.12 and 142,738.95

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Solution

The fourth proportional to 263,597.67, 363,764.12 and 142,738.95 is: 196,979.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,597.67 : 363,764.12 = 142,738.95 : x
  2. Step 2: Convert to fraction form
    263,597.67/363,764.12 = 142,738.95/x
  3. Step 3: Cross multiply
    263,597.67x = 363,764.12 × 142,738.95
  4. Step 4: Simplify right side
    263,597.67x = 51,923,307,074.50
  5. Step 5: Solve for x
    x = 51,923,307,074.50/263,597.67
  6. Step 6: Final answer
    x = 196,979.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.