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Finding the Fourth Proportional to 120,713.09, 166,604.68 and 69,716.65

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Solution

The fourth proportional to 120,713.09, 166,604.68 and 69,716.65 is: 96,220.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,713.09 : 166,604.68 = 69,716.65 : x
  2. Step 2: Convert to fraction form
    120,713.09/166,604.68 = 69,716.65/x
  3. Step 3: Cross multiply
    120,713.09x = 166,604.68 × 69,716.65
  4. Step 4: Simplify right side
    120,713.09x = 11,615,120,829.86
  5. Step 5: Solve for x
    x = 11,615,120,829.86/120,713.09
  6. Step 6: Final answer
    x = 96,220.89

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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.