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Finding the Fourth Proportional to 120,077.50, 180,059.67 and 70,171.96

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Solution

The fourth proportional to 120,077.50, 180,059.67 and 70,171.96 is: 105,224.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,077.50 : 180,059.67 = 70,171.96 : x
  2. Step 2: Convert to fraction form
    120,077.50/180,059.67 = 70,171.96/x
  3. Step 3: Cross multiply
    120,077.50x = 180,059.67 × 70,171.96
  4. Step 4: Simplify right side
    120,077.50x = 12,635,139,960.85
  5. Step 5: Solve for x
    x = 12,635,139,960.85/120,077.50
  6. Step 6: Final answer
    x = 105,224.88

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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.