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Finding the Fourth Proportional to 276,187, 414,112.78 and 180,195.52

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Solution

The fourth proportional to 276,187, 414,112.78 and 180,195.52 is: 270,183.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,187 : 414,112.78 = 180,195.52 : x
  2. Step 2: Convert to fraction form
    276,187/414,112.78 = 180,195.52/x
  3. Step 3: Cross multiply
    276,187x = 414,112.78 × 180,195.52
  4. Step 4: Simplify right side
    276,187x = 74,621,267,730.75
  5. Step 5: Solve for x
    x = 74,621,267,730.75/276,187
  6. Step 6: Final answer
    x = 270,183.85

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Why These Related Problems?

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