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Finding the Fourth Proportional to 180,640.70, 271,114.65 and 80,954.30

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Solution

The fourth proportional to 180,640.70, 271,114.65 and 80,954.30 is: 121,500.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,640.70 : 271,114.65 = 80,954.30 : x
  2. Step 2: Convert to fraction form
    180,640.70/271,114.65 = 80,954.30/x
  3. Step 3: Cross multiply
    180,640.70x = 271,114.65 × 80,954.30
  4. Step 4: Simplify right side
    180,640.70x = 21,947,896,710.50
  5. Step 5: Solve for x
    x = 21,947,896,710.50/180,640.70
  6. Step 6: Final answer
    x = 121,500.29

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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.