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Finding the Fourth Proportional to 276,165.84, 414,201.68 and 76,439.43

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Solution

The fourth proportional to 276,165.84, 414,201.68 and 76,439.43 is: 114,646.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,165.84 : 414,201.68 = 76,439.43 : x
  2. Step 2: Convert to fraction form
    276,165.84/414,201.68 = 76,439.43/x
  3. Step 3: Cross multiply
    276,165.84x = 414,201.68 × 76,439.43
  4. Step 4: Simplify right side
    276,165.84x = 31,661,339,942.05
  5. Step 5: Solve for x
    x = 31,661,339,942.05/276,165.84
  6. Step 6: Final answer
    x = 114,646.11

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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.