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Finding the Fourth Proportional to 133,208.75, 199,891.94 and 49,028.04

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Solution

The fourth proportional to 133,208.75, 199,891.94 and 49,028.04 is: 73,571.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,208.75 : 199,891.94 = 49,028.04 : x
  2. Step 2: Convert to fraction form
    133,208.75/199,891.94 = 49,028.04/x
  3. Step 3: Cross multiply
    133,208.75x = 199,891.94 × 49,028.04
  4. Step 4: Simplify right side
    133,208.75x = 9,800,309,784.86
  5. Step 5: Solve for x
    x = 9,800,309,784.86/133,208.75
  6. Step 6: Final answer
    x = 73,571.06

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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.