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Finding the Fourth Proportional to 204,261.94, 281,861.70 and 118,203.84

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Solution

The fourth proportional to 204,261.94, 281,861.70 and 118,203.84 is: 163,109.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,261.94 : 281,861.70 = 118,203.84 : x
  2. Step 2: Convert to fraction form
    204,261.94/281,861.70 = 118,203.84/x
  3. Step 3: Cross multiply
    204,261.94x = 281,861.70 × 118,203.84
  4. Step 4: Simplify right side
    204,261.94x = 33,317,135,288.93
  5. Step 5: Solve for x
    x = 33,317,135,288.93/204,261.94
  6. Step 6: Final answer
    x = 163,109.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.