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Finding the Fourth Proportional to 120,309.12, 166,039.08 and 69,323.88

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Solution

The fourth proportional to 120,309.12, 166,039.08 and 69,323.88 is: 95,674.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,309.12 : 166,039.08 = 69,323.88 : x
  2. Step 2: Convert to fraction form
    120,309.12/166,039.08 = 69,323.88/x
  3. Step 3: Cross multiply
    120,309.12x = 166,039.08 × 69,323.88
  4. Step 4: Simplify right side
    120,309.12x = 11,510,473,257.23
  5. Step 5: Solve for x
    x = 11,510,473,257.23/120,309.12
  6. Step 6: Final answer
    x = 95,674.15

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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.