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Finding the Fourth Proportional to 206,493.14, 309,852.50 and 80,138.34

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Solution

The fourth proportional to 206,493.14, 309,852.50 and 80,138.34 is: 120,251.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,493.14 : 309,852.50 = 80,138.34 : x
  2. Step 2: Convert to fraction form
    206,493.14/309,852.50 = 80,138.34/x
  3. Step 3: Cross multiply
    206,493.14x = 309,852.50 × 80,138.34
  4. Step 4: Simplify right side
    206,493.14x = 24,831,064,994.85
  5. Step 5: Solve for x
    x = 24,831,064,994.85/206,493.14
  6. Step 6: Final answer
    x = 120,251.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.