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Finding the Fourth Proportional to 133,166.82, 199,748.19 and 39,672.57

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Solution

The fourth proportional to 133,166.82, 199,748.19 and 39,672.57 is: 59,508.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,166.82 : 199,748.19 = 39,672.57 : x
  2. Step 2: Convert to fraction form
    133,166.82/199,748.19 = 39,672.57/x
  3. Step 3: Cross multiply
    133,166.82x = 199,748.19 × 39,672.57
  4. Step 4: Simplify right side
    133,166.82x = 7,924,524,050.15
  5. Step 5: Solve for x
    x = 7,924,524,050.15/133,166.82
  6. Step 6: Final answer
    x = 59,508.25

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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.