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Finding the Fourth Proportional to 180,626.40, 270,942.33 and 68,359.50

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Solution

The fourth proportional to 180,626.40, 270,942.33 and 68,359.50 is: 102,540.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,626.40 : 270,942.33 = 68,359.50 : x
  2. Step 2: Convert to fraction form
    180,626.40/270,942.33 = 68,359.50/x
  3. Step 3: Cross multiply
    180,626.40x = 270,942.33 × 68,359.50
  4. Step 4: Simplify right side
    180,626.40x = 18,521,482,207.64
  5. Step 5: Solve for x
    x = 18,521,482,207.64/180,626.40
  6. Step 6: Final answer
    x = 102,540.28

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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.