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Finding the Fourth Proportional to 141,266.42, 194,914.05 and 80,013.14

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Solution

The fourth proportional to 141,266.42, 194,914.05 and 80,013.14 is: 110,399.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,266.42 : 194,914.05 = 80,013.14 : x
  2. Step 2: Convert to fraction form
    141,266.42/194,914.05 = 80,013.14/x
  3. Step 3: Cross multiply
    141,266.42x = 194,914.05 × 80,013.14
  4. Step 4: Simplify right side
    141,266.42x = 15,595,685,170.62
  5. Step 5: Solve for x
    x = 15,595,685,170.62/141,266.42
  6. Step 6: Final answer
    x = 110,399.10

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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.