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Finding the Fourth Proportional to 194,406.35, 268,286.40 and 113,826.33

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Solution

The fourth proportional to 194,406.35, 268,286.40 and 113,826.33 is: 157,083.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,406.35 : 268,286.40 = 113,826.33 : x
  2. Step 2: Convert to fraction form
    194,406.35/268,286.40 = 113,826.33/x
  3. Step 3: Cross multiply
    194,406.35x = 268,286.40 × 113,826.33
  4. Step 4: Simplify right side
    194,406.35x = 30,538,056,300.91
  5. Step 5: Solve for x
    x = 30,538,056,300.91/194,406.35
  6. Step 6: Final answer
    x = 157,083.64

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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.