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Finding the Fourth Proportional to 120,233.58, 180,376.29 and 36,000.42

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Solution

The fourth proportional to 120,233.58, 180,376.29 and 36,000.42 is: 54,008.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,233.58 : 180,376.29 = 36,000.42 : x
  2. Step 2: Convert to fraction form
    120,233.58/180,376.29 = 36,000.42/x
  3. Step 3: Cross multiply
    120,233.58x = 180,376.29 × 36,000.42
  4. Step 4: Simplify right side
    120,233.58x = 6,493,622,198.04
  5. Step 5: Solve for x
    x = 6,493,622,198.04/120,233.58
  6. Step 6: Final answer
    x = 54,008.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.