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Finding the Fourth Proportional to 194,427.68, 268,311.36 and 109,546.40

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Solution

The fourth proportional to 194,427.68, 268,311.36 and 109,546.40 is: 151,174.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,427.68 : 268,311.36 = 109,546.40 : x
  2. Step 2: Convert to fraction form
    194,427.68/268,311.36 = 109,546.40/x
  3. Step 3: Cross multiply
    194,427.68x = 268,311.36 × 109,546.40
  4. Step 4: Simplify right side
    194,427.68x = 29,392,543,567.10
  5. Step 5: Solve for x
    x = 29,392,543,567.10/194,427.68
  6. Step 6: Final answer
    x = 151,174.69

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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.