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Finding the Fourth Proportional to 120,319.36, 166,042.74 and 65,876.29

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Solution

The fourth proportional to 120,319.36, 166,042.74 and 65,876.29 is: 90,910.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,319.36 : 166,042.74 = 65,876.29 : x
  2. Step 2: Convert to fraction form
    120,319.36/166,042.74 = 65,876.29/x
  3. Step 3: Cross multiply
    120,319.36x = 166,042.74 × 65,876.29
  4. Step 4: Simplify right side
    120,319.36x = 10,938,279,524.56
  5. Step 5: Solve for x
    x = 10,938,279,524.56/120,319.36
  6. Step 6: Final answer
    x = 90,910.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.