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Finding the Fourth Proportional to 273,633.81, 410,094.68 and 111,338.72

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Solution

The fourth proportional to 273,633.81, 410,094.68 and 111,338.72 is: 166,863.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,633.81 : 410,094.68 = 111,338.72 : x
  2. Step 2: Convert to fraction form
    273,633.81/410,094.68 = 111,338.72/x
  3. Step 3: Cross multiply
    273,633.81x = 410,094.68 × 111,338.72
  4. Step 4: Simplify right side
    273,633.81x = 45,659,414,977.88
  5. Step 5: Solve for x
    x = 45,659,414,977.88/273,633.81
  6. Step 6: Final answer
    x = 166,863.21

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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.