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Finding the Fourth Proportional to 120,499.94, 166,296.04 and 69,493.70

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Solution

The fourth proportional to 120,499.94, 166,296.04 and 69,493.70 is: 95,904.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,499.94 : 166,296.04 = 69,493.70 : x
  2. Step 2: Convert to fraction form
    120,499.94/166,296.04 = 69,493.70/x
  3. Step 3: Cross multiply
    120,499.94x = 166,296.04 × 69,493.70
  4. Step 4: Simplify right side
    120,499.94x = 11,556,527,114.95
  5. Step 5: Solve for x
    x = 11,556,527,114.95/120,499.94
  6. Step 6: Final answer
    x = 95,904.84

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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.