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Finding the Fourth Proportional to 194,353.56, 268,116.27 and 113,731.64

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Solution

The fourth proportional to 194,353.56, 268,116.27 and 113,731.64 is: 156,896.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,353.56 : 268,116.27 = 113,731.64 : x
  2. Step 2: Convert to fraction form
    194,353.56/268,116.27 = 113,731.64/x
  3. Step 3: Cross multiply
    194,353.56x = 268,116.27 × 113,731.64
  4. Step 4: Simplify right side
    194,353.56x = 30,493,301,757.20
  5. Step 5: Solve for x
    x = 30,493,301,757.20/194,353.56
  6. Step 6: Final answer
    x = 156,896.03

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Why These Related Problems?

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