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Finding the Fourth Proportional to 180,510.40, 270,691.08 and 68,171.50

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Solution

The fourth proportional to 180,510.40, 270,691.08 and 68,171.50 is: 102,229.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,510.40 : 270,691.08 = 68,171.50 : x
  2. Step 2: Convert to fraction form
    180,510.40/270,691.08 = 68,171.50/x
  3. Step 3: Cross multiply
    180,510.40x = 270,691.08 × 68,171.50
  4. Step 4: Simplify right side
    180,510.40x = 18,453,416,960.22
  5. Step 5: Solve for x
    x = 18,453,416,960.22/180,510.40
  6. Step 6: Final answer
    x = 102,229.11

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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.