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Finding the Fourth Proportional to 276,487.26, 414,716.31 and 136,198.50

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Solution

The fourth proportional to 276,487.26, 414,716.31 and 136,198.50 is: 204,290.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,487.26 : 414,716.31 = 136,198.50 : x
  2. Step 2: Convert to fraction form
    276,487.26/414,716.31 = 136,198.50/x
  3. Step 3: Cross multiply
    276,487.26x = 414,716.31 × 136,198.50
  4. Step 4: Simplify right side
    276,487.26x = 56,483,739,347.54
  5. Step 5: Solve for x
    x = 56,483,739,347.54/276,487.26
  6. Step 6: Final answer
    x = 204,290.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.