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Finding the Fourth Proportional to 120,930.30, 166,837.29 and 77,906.54

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Solution

The fourth proportional to 120,930.30, 166,837.29 and 77,906.54 is: 107,481.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,930.30 : 166,837.29 = 77,906.54 : x
  2. Step 2: Convert to fraction form
    120,930.30/166,837.29 = 77,906.54/x
  3. Step 3: Cross multiply
    120,930.30x = 166,837.29 × 77,906.54
  4. Step 4: Simplify right side
    120,930.30x = 12,997,716,131.82
  5. Step 5: Solve for x
    x = 12,997,716,131.82/120,930.30
  6. Step 6: Final answer
    x = 107,481.05

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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.