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Finding the Fourth Proportional to 203,208.40, 305,104.20 and 114,634.90

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Solution

The fourth proportional to 203,208.40, 305,104.20 and 114,634.90 is: 172,116.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,208.40 : 305,104.20 = 114,634.90 : x
  2. Step 2: Convert to fraction form
    203,208.40/305,104.20 = 114,634.90/x
  3. Step 3: Cross multiply
    203,208.40x = 305,104.20 × 114,634.90
  4. Step 4: Simplify right side
    203,208.40x = 34,975,589,456.58
  5. Step 5: Solve for x
    x = 34,975,589,456.58/203,208.40
  6. Step 6: Final answer
    x = 172,116.85

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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.