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Finding the Fourth Proportional to 120,505.14, 166,297.11 and 72,770.22

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Solution

The fourth proportional to 120,505.14, 166,297.11 and 72,770.22 is: 100,422.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,505.14 : 166,297.11 = 72,770.22 : x
  2. Step 2: Convert to fraction form
    120,505.14/166,297.11 = 72,770.22/x
  3. Step 3: Cross multiply
    120,505.14x = 166,297.11 × 72,770.22
  4. Step 4: Simplify right side
    120,505.14x = 12,101,477,280.06
  5. Step 5: Solve for x
    x = 12,101,477,280.06/120,505.14
  6. Step 6: Final answer
    x = 100,422.91

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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.