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Finding the Fourth Proportional to 133,841.25, 200,792.16 and 45,092.34

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Solution

The fourth proportional to 133,841.25, 200,792.16 and 45,092.34 is: 67,648.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,841.25 : 200,792.16 = 45,092.34 : x
  2. Step 2: Convert to fraction form
    133,841.25/200,792.16 = 45,092.34/x
  3. Step 3: Cross multiply
    133,841.25x = 200,792.16 × 45,092.34
  4. Step 4: Simplify right side
    133,841.25x = 9,054,188,348.05
  5. Step 5: Solve for x
    x = 9,054,188,348.05/133,841.25
  6. Step 6: Final answer
    x = 67,648.71

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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.