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Finding the Fourth Proportional to 180,512.40, 270,694.08 and 68,173.50

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Solution

The fourth proportional to 180,512.40, 270,694.08 and 68,173.50 is: 102,232.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,512.40 : 270,694.08 = 68,173.50 : x
  2. Step 2: Convert to fraction form
    180,512.40/270,694.08 = 68,173.50/x
  3. Step 3: Cross multiply
    180,512.40x = 270,694.08 × 68,173.50
  4. Step 4: Simplify right side
    180,512.40x = 18,454,162,862.88
  5. Step 5: Solve for x
    x = 18,454,162,862.88/180,512.40
  6. Step 6: Final answer
    x = 102,232.11

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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.