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Finding the Fourth Proportional to 133,796.43, 200,669.10 and 67,218.08

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Solution

The fourth proportional to 133,796.43, 200,669.10 and 67,218.08 is: 100,814.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,796.43 : 200,669.10 = 67,218.08 : x
  2. Step 2: Convert to fraction form
    133,796.43/200,669.10 = 67,218.08/x
  3. Step 3: Cross multiply
    133,796.43x = 200,669.10 × 67,218.08
  4. Step 4: Simplify right side
    133,796.43x = 13,488,590,613.98
  5. Step 5: Solve for x
    x = 13,488,590,613.98/133,796.43
  6. Step 6: Final answer
    x = 100,814.28

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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.