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Finding the Fourth Proportional to 120,932.55, 166,961.60 and 77,927.22

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Solution

The fourth proportional to 120,932.55, 166,961.60 and 77,927.22 is: 107,587.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,932.55 : 166,961.60 = 77,927.22 : x
  2. Step 2: Convert to fraction form
    120,932.55/166,961.60 = 77,927.22/x
  3. Step 3: Cross multiply
    120,932.55x = 166,961.60 × 77,927.22
  4. Step 4: Simplify right side
    120,932.55x = 13,010,852,945.12
  5. Step 5: Solve for x
    x = 13,010,852,945.12/120,932.55
  6. Step 6: Final answer
    x = 107,587.68

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