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Finding the Fourth Proportional to 150,051.43, 207,062.49 and 82,054.90

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Solution

The fourth proportional to 150,051.43, 207,062.49 and 82,054.90 is: 113,231.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,051.43 : 207,062.49 = 82,054.90 : x
  2. Step 2: Convert to fraction form
    150,051.43/207,062.49 = 82,054.90/x
  3. Step 3: Cross multiply
    150,051.43x = 207,062.49 × 82,054.90
  4. Step 4: Simplify right side
    150,051.43x = 16,990,491,910.70
  5. Step 5: Solve for x
    x = 16,990,491,910.70/150,051.43
  6. Step 6: Final answer
    x = 113,231.12

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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.