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Finding the Fourth Proportional to 169,538.33, 254,151.98 and 75,993.05

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Solution

The fourth proportional to 169,538.33, 254,151.98 and 75,993.05 is: 113,919.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,538.33 : 254,151.98 = 75,993.05 : x
  2. Step 2: Convert to fraction form
    169,538.33/254,151.98 = 75,993.05/x
  3. Step 3: Cross multiply
    169,538.33x = 254,151.98 × 75,993.05
  4. Step 4: Simplify right side
    169,538.33x = 19,313,784,664.13
  5. Step 5: Solve for x
    x = 19,313,784,664.13/169,538.33
  6. Step 6: Final answer
    x = 113,919.87

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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.