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Finding the Fourth Proportional to 194,170.56, 291,387.60 and 75,841.44

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Solution

The fourth proportional to 194,170.56, 291,387.60 and 75,841.44 is: 113,813.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,170.56 : 291,387.60 = 75,841.44 : x
  2. Step 2: Convert to fraction form
    194,170.56/291,387.60 = 75,841.44/x
  3. Step 3: Cross multiply
    194,170.56x = 291,387.60 × 75,841.44
  4. Step 4: Simplify right side
    194,170.56x = 22,099,255,182.14
  5. Step 5: Solve for x
    x = 22,099,255,182.14/194,170.56
  6. Step 6: Final answer
    x = 113,813.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.