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Finding the Fourth Proportional to 202,633.75, 279,651.86 and 113,227.03

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Solution

The fourth proportional to 202,633.75, 279,651.86 and 113,227.03 is: 156,262.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,633.75 : 279,651.86 = 113,227.03 : x
  2. Step 2: Convert to fraction form
    202,633.75/279,651.86 = 113,227.03/x
  3. Step 3: Cross multiply
    202,633.75x = 279,651.86 × 113,227.03
  4. Step 4: Simplify right side
    202,633.75x = 31,664,149,541.78
  5. Step 5: Solve for x
    x = 31,664,149,541.78/202,633.75
  6. Step 6: Final answer
    x = 156,262.96

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Why These Related Problems?

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