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Finding the Fourth Proportional to 133,914.33, 200,883.29 and 49,675.41

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Solution

The fourth proportional to 133,914.33, 200,883.29 and 49,675.41 is: 74,517.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,914.33 : 200,883.29 = 49,675.41 : x
  2. Step 2: Convert to fraction form
    133,914.33/200,883.29 = 49,675.41/x
  3. Step 3: Cross multiply
    133,914.33x = 200,883.29 × 49,675.41
  4. Step 4: Simplify right side
    133,914.33x = 9,978,959,544.52
  5. Step 5: Solve for x
    x = 9,978,959,544.52/133,914.33
  6. Step 6: Final answer
    x = 74,517.49

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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.