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Finding the Fourth Proportional to 133,067.82, 199,543.41 and 49,903.50

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Solution

The fourth proportional to 133,067.82, 199,543.41 and 49,903.50 is: 74,833.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,067.82 : 199,543.41 = 49,903.50 : x
  2. Step 2: Convert to fraction form
    133,067.82/199,543.41 = 49,903.50/x
  3. Step 3: Cross multiply
    133,067.82x = 199,543.41 × 49,903.50
  4. Step 4: Simplify right side
    133,067.82x = 9,957,914,560.94
  5. Step 5: Solve for x
    x = 9,957,914,560.94/133,067.82
  6. Step 6: Final answer
    x = 74,833.38

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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.