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Finding the Fourth Proportional to 180,838.91, 271,247.42 and 80,972.28

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Solution

The fourth proportional to 180,838.91, 271,247.42 and 80,972.28 is: 121,453.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,838.91 : 271,247.42 = 80,972.28 : x
  2. Step 2: Convert to fraction form
    180,838.91/271,247.42 = 80,972.28/x
  3. Step 3: Cross multiply
    180,838.91x = 271,247.42 × 80,972.28
  4. Step 4: Simplify right side
    180,838.91x = 21,963,522,243.95
  5. Step 5: Solve for x
    x = 21,963,522,243.95/180,838.91
  6. Step 6: Final answer
    x = 121,453.52

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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.