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Finding the Fourth Proportional to 140,941, 194,515.86 and 81,325

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Solution

The fourth proportional to 140,941, 194,515.86 and 81,325 is: 112,238.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,941 : 194,515.86 = 81,325 : x
  2. Step 2: Convert to fraction form
    140,941/194,515.86 = 81,325/x
  3. Step 3: Cross multiply
    140,941x = 194,515.86 × 81,325
  4. Step 4: Simplify right side
    140,941x = 15,819,002,314.50
  5. Step 5: Solve for x
    x = 15,819,002,314.50/140,941
  6. Step 6: Final answer
    x = 112,238.47

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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.