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Finding the Fourth Proportional to 120,633.40, 180,950.10 and 101,096.20

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Solution

The fourth proportional to 120,633.40, 180,950.10 and 101,096.20 is: 151,644.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,633.40 : 180,950.10 = 101,096.20 : x
  2. Step 2: Convert to fraction form
    120,633.40/180,950.10 = 101,096.20/x
  3. Step 3: Cross multiply
    120,633.40x = 180,950.10 × 101,096.20
  4. Step 4: Simplify right side
    120,633.40x = 18,293,367,499.62
  5. Step 5: Solve for x
    x = 18,293,367,499.62/120,633.40
  6. Step 6: Final answer
    x = 151,644.30

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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.