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Finding the Fourth Proportional to 133,690.26, 200,646.17 and 67,149.44

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Solution

The fourth proportional to 133,690.26, 200,646.17 and 67,149.44 is: 100,779.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,690.26 : 200,646.17 = 67,149.44 : x
  2. Step 2: Convert to fraction form
    133,690.26/200,646.17 = 67,149.44/x
  3. Step 3: Cross multiply
    133,690.26x = 200,646.17 × 67,149.44
  4. Step 4: Simplify right side
    133,690.26x = 13,473,276,614.67
  5. Step 5: Solve for x
    x = 13,473,276,614.67/133,690.26
  6. Step 6: Final answer
    x = 100,779.79

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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.