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Finding the Fourth Proportional to 203,858.14, 281,333.64 and 113,214.50

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Solution

The fourth proportional to 203,858.14, 281,333.64 and 113,214.50 is: 156,241.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,858.14 : 281,333.64 = 113,214.50 : x
  2. Step 2: Convert to fraction form
    203,858.14/281,333.64 = 113,214.50/x
  3. Step 3: Cross multiply
    203,858.14x = 281,333.64 × 113,214.50
  4. Step 4: Simplify right side
    203,858.14x = 31,851,047,385.78
  5. Step 5: Solve for x
    x = 31,851,047,385.78/203,858.14
  6. Step 6: Final answer
    x = 156,241.23

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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.