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Finding the Fourth Proportional to 133,896.48, 200,716.52 and 49,634.03

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Solution

The fourth proportional to 133,896.48, 200,716.52 and 49,634.03 is: 74,403.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,896.48 : 200,716.52 = 49,634.03 : x
  2. Step 2: Convert to fraction form
    133,896.48/200,716.52 = 49,634.03/x
  3. Step 3: Cross multiply
    133,896.48x = 200,716.52 × 49,634.03
  4. Step 4: Simplify right side
    133,896.48x = 9,962,368,523.42
  5. Step 5: Solve for x
    x = 9,962,368,523.42/133,896.48
  6. Step 6: Final answer
    x = 74,403.51

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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.