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Finding the Fourth Proportional to 133,156.57, 199,735.39 and 33,316.48

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Solution

The fourth proportional to 133,156.57, 199,735.39 and 33,316.48 is: 49,974.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,156.57 : 199,735.39 = 33,316.48 : x
  2. Step 2: Convert to fraction form
    133,156.57/199,735.39 = 33,316.48/x
  3. Step 3: Cross multiply
    133,156.57x = 199,735.39 × 33,316.48
  4. Step 4: Simplify right side
    133,156.57x = 6,654,480,791.89
  5. Step 5: Solve for x
    x = 6,654,480,791.89/133,156.57
  6. Step 6: Final answer
    x = 49,974.86

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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.