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Finding the Fourth Proportional to 180,821.02, 271,194.42 and 68,462.56

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Solution

The fourth proportional to 180,821.02, 271,194.42 and 68,462.56 is: 102,679.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,821.02 : 271,194.42 = 68,462.56 : x
  2. Step 2: Convert to fraction form
    180,821.02/271,194.42 = 68,462.56/x
  3. Step 3: Cross multiply
    180,821.02x = 271,194.42 × 68,462.56
  4. Step 4: Simplify right side
    180,821.02x = 18,566,664,250.92
  5. Step 5: Solve for x
    x = 18,566,664,250.92/180,821.02
  6. Step 6: Final answer
    x = 102,679.79

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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.