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Finding the Fourth Proportional to 120,786.96, 166,690.85 and 69,798

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Solution

The fourth proportional to 120,786.96, 166,690.85 and 69,798 is: 96,324.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,786.96 : 166,690.85 = 69,798 : x
  2. Step 2: Convert to fraction form
    120,786.96/166,690.85 = 69,798/x
  3. Step 3: Cross multiply
    120,786.96x = 166,690.85 × 69,798
  4. Step 4: Simplify right side
    120,786.96x = 11,634,687,599.31
  5. Step 5: Solve for x
    x = 11,634,687,599.31/120,786.96
  6. Step 6: Final answer
    x = 96,324.04

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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.