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Finding the Fourth Proportional to 120,816.30, 166,748.22 and 69,822.03

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Solution

The fourth proportional to 120,816.30, 166,748.22 and 69,822.03 is: 96,366.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,816.30 : 166,748.22 = 69,822.03 : x
  2. Step 2: Convert to fraction form
    120,816.30/166,748.22 = 69,822.03/x
  3. Step 3: Cross multiply
    120,816.30x = 166,748.22 × 69,822.03
  4. Step 4: Simplify right side
    120,816.30x = 11,642,699,219.29
  5. Step 5: Solve for x
    x = 11,642,699,219.29/120,816.30
  6. Step 6: Final answer
    x = 96,366.96

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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.