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Finding the Fourth Proportional to 180,481.34, 270,630.87 and 105,623.97

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Solution

The fourth proportional to 180,481.34, 270,630.87 and 105,623.97 is: 158,382.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,481.34 : 270,630.87 = 105,623.97 : x
  2. Step 2: Convert to fraction form
    180,481.34/270,630.87 = 105,623.97/x
  3. Step 3: Cross multiply
    180,481.34x = 270,630.87 × 105,623.97
  4. Step 4: Simplify right side
    180,481.34x = 28,585,106,893.95
  5. Step 5: Solve for x
    x = 28,585,106,893.95/180,481.34
  6. Step 6: Final answer
    x = 158,382.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.