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Finding the Fourth Proportional to 120,399.42, 166,157.16 and 72,651.96

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Solution

The fourth proportional to 120,399.42, 166,157.16 and 72,651.96 is: 100,263.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,399.42 : 166,157.16 = 72,651.96 : x
  2. Step 2: Convert to fraction form
    120,399.42/166,157.16 = 72,651.96/x
  3. Step 3: Cross multiply
    120,399.42x = 166,157.16 × 72,651.96
  4. Step 4: Simplify right side
    120,399.42x = 12,071,643,342.03
  5. Step 5: Solve for x
    x = 12,071,643,342.03/120,399.42
  6. Step 6: Final answer
    x = 100,263.30

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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.