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Finding the Fourth Proportional to 133,883.82, 200,832.41 and 43,918.57

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Solution

The fourth proportional to 133,883.82, 200,832.41 and 43,918.57 is: 65,880.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,883.82 : 200,832.41 = 43,918.57 : x
  2. Step 2: Convert to fraction form
    133,883.82/200,832.41 = 43,918.57/x
  3. Step 3: Cross multiply
    133,883.82x = 200,832.41 × 43,918.57
  4. Step 4: Simplify right side
    133,883.82x = 8,820,272,617.69
  5. Step 5: Solve for x
    x = 8,820,272,617.69/133,883.82
  6. Step 6: Final answer
    x = 65,880.05

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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.