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Finding the Fourth Proportional to 180,601.50, 270,880.68 and 47,492.12

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Solution

The fourth proportional to 180,601.50, 270,880.68 and 47,492.12 is: 71,232.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,601.50 : 270,880.68 = 47,492.12 : x
  2. Step 2: Convert to fraction form
    180,601.50/270,880.68 = 47,492.12/x
  3. Step 3: Cross multiply
    180,601.50x = 270,880.68 × 47,492.12
  4. Step 4: Simplify right side
    180,601.50x = 12,864,698,481.97
  5. Step 5: Solve for x
    x = 12,864,698,481.97/180,601.50
  6. Step 6: Final answer
    x = 71,232.51

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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.