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Finding the Fourth Proportional to 120,208.76, 180,257.75 and 67,618.24

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Solution

The fourth proportional to 120,208.76, 180,257.75 and 67,618.24 is: 101,396.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,208.76 : 180,257.75 = 67,618.24 : x
  2. Step 2: Convert to fraction form
    120,208.76/180,257.75 = 67,618.24/x
  3. Step 3: Cross multiply
    120,208.76x = 180,257.75 × 67,618.24
  4. Step 4: Simplify right side
    120,208.76x = 12,188,712,660.50
  5. Step 5: Solve for x
    x = 12,188,712,660.50/120,208.76
  6. Step 6: Final answer
    x = 101,396.21

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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.