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Finding the Fourth Proportional to 202,189.46, 279,022.38 and 111,546.50

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Solution

The fourth proportional to 202,189.46, 279,022.38 and 111,546.50 is: 153,934.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,189.46 : 279,022.38 = 111,546.50 : x
  2. Step 2: Convert to fraction form
    202,189.46/279,022.38 = 111,546.50/x
  3. Step 3: Cross multiply
    202,189.46x = 279,022.38 × 111,546.50
  4. Step 4: Simplify right side
    202,189.46x = 31,123,969,910.67
  5. Step 5: Solve for x
    x = 31,123,969,910.67/202,189.46
  6. Step 6: Final answer
    x = 153,934.68

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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.