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Finding the Fourth Proportional to 133,982.84, 200,914.20 and 45,213.32

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Solution

The fourth proportional to 133,982.84, 200,914.20 and 45,213.32 is: 67,799.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,982.84 : 200,914.20 = 45,213.32 : x
  2. Step 2: Convert to fraction form
    133,982.84/200,914.20 = 45,213.32/x
  3. Step 3: Cross multiply
    133,982.84x = 200,914.20 × 45,213.32
  4. Step 4: Simplify right side
    133,982.84x = 9,083,998,017.14
  5. Step 5: Solve for x
    x = 9,083,998,017.14/133,982.84
  6. Step 6: Final answer
    x = 67,799.71

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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.