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Finding the Fourth Proportional to 180,712.83, 271,034.20 and 68,401.82

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Solution

The fourth proportional to 180,712.83, 271,034.20 and 68,401.82 is: 102,589.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,712.83 : 271,034.20 = 68,401.82 : x
  2. Step 2: Convert to fraction form
    180,712.83/271,034.20 = 68,401.82/x
  3. Step 3: Cross multiply
    180,712.83x = 271,034.20 × 68,401.82
  4. Step 4: Simplify right side
    180,712.83x = 18,539,230,865.06
  5. Step 5: Solve for x
    x = 18,539,230,865.06/180,712.83
  6. Step 6: Final answer
    x = 102,589.46

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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.