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Finding the Fourth Proportional to 194,331.38, 268,244.42 and 113,784.80

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Solution

The fourth proportional to 194,331.38, 268,244.42 and 113,784.80 is: 157,062.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,331.38 : 268,244.42 = 113,784.80 : x
  2. Step 2: Convert to fraction form
    194,331.38/268,244.42 = 113,784.80/x
  3. Step 3: Cross multiply
    194,331.38x = 268,244.42 × 113,784.80
  4. Step 4: Simplify right side
    194,331.38x = 30,522,135,770.67
  5. Step 5: Solve for x
    x = 30,522,135,770.67/194,331.38
  6. Step 6: Final answer
    x = 157,062.32

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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.