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Finding the Fourth Proportional to 180,511.90, 270,693.33 and 68,173

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Solution

The fourth proportional to 180,511.90, 270,693.33 and 68,173 is: 102,231.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,511.90 : 270,693.33 = 68,173 : x
  2. Step 2: Convert to fraction form
    180,511.90/270,693.33 = 68,173/x
  3. Step 3: Cross multiply
    180,511.90x = 270,693.33 × 68,173
  4. Step 4: Simplify right side
    180,511.90x = 18,453,976,386.09
  5. Step 5: Solve for x
    x = 18,453,976,386.09/180,511.90
  6. Step 6: Final answer
    x = 102,231.36

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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.