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Finding the Fourth Proportional to 120,080.50, 180,064.17 and 70,174.96

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Solution

The fourth proportional to 120,080.50, 180,064.17 and 70,174.96 is: 105,229.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,080.50 : 180,064.17 = 70,174.96 : x
  2. Step 2: Convert to fraction form
    120,080.50/180,064.17 = 70,174.96/x
  3. Step 3: Cross multiply
    120,080.50x = 180,064.17 × 70,174.96
  4. Step 4: Simplify right side
    120,080.50x = 12,635,995,927.18
  5. Step 5: Solve for x
    x = 12,635,995,927.18/120,080.50
  6. Step 6: Final answer
    x = 105,229.37

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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.