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Finding the Fourth Proportional to 133,857.31, 200,792.62 and 43,909.09

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Solution

The fourth proportional to 133,857.31, 200,792.62 and 43,909.09 is: 65,865.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,857.31 : 200,792.62 = 43,909.09 : x
  2. Step 2: Convert to fraction form
    133,857.31/200,792.62 = 43,909.09/x
  3. Step 3: Cross multiply
    133,857.31x = 200,792.62 × 43,909.09
  4. Step 4: Simplify right side
    133,857.31x = 8,816,620,775.82
  5. Step 5: Solve for x
    x = 8,816,620,775.82/133,857.31
  6. Step 6: Final answer
    x = 65,865.82

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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.