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Finding the Fourth Proportional to 180,881.76, 271,285.62 and 68,523.24

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Solution

The fourth proportional to 180,881.76, 271,285.62 and 68,523.24 is: 102,770.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,881.76 : 271,285.62 = 68,523.24 : x
  2. Step 2: Convert to fraction form
    180,881.76/271,285.62 = 68,523.24/x
  3. Step 3: Cross multiply
    180,881.76x = 271,285.62 × 68,523.24
  4. Step 4: Simplify right side
    180,881.76x = 18,589,369,647.81
  5. Step 5: Solve for x
    x = 18,589,369,647.81/180,881.76
  6. Step 6: Final answer
    x = 102,770.84

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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.