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Finding the Fourth Proportional to 120,364.10, 166,102.16 and 69,376.42

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Solution

The fourth proportional to 120,364.10, 166,102.16 and 69,376.42 is: 95,739.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,364.10 : 166,102.16 = 69,376.42 : x
  2. Step 2: Convert to fraction form
    120,364.10/166,102.16 = 69,376.42/x
  3. Step 3: Cross multiply
    120,364.10x = 166,102.16 × 69,376.42
  4. Step 4: Simplify right side
    120,364.10x = 11,523,572,452.93
  5. Step 5: Solve for x
    x = 11,523,572,452.93/120,364.10
  6. Step 6: Final answer
    x = 95,739.29

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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.