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Finding the Fourth Proportional to 180,593.34, 271,000.73 and 80,837.88

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Solution

The fourth proportional to 180,593.34, 271,000.73 and 80,837.88 is: 121,306.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,593.34 : 271,000.73 = 80,837.88 : x
  2. Step 2: Convert to fraction form
    180,593.34/271,000.73 = 80,837.88/x
  3. Step 3: Cross multiply
    180,593.34x = 271,000.73 × 80,837.88
  4. Step 4: Simplify right side
    180,593.34x = 21,907,124,693.75
  5. Step 5: Solve for x
    x = 21,907,124,693.75/180,593.34
  6. Step 6: Final answer
    x = 121,306.38

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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.