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Finding the Fourth Proportional to 140,265, 193,515.85 and 82,892.16

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Solution

The fourth proportional to 140,265, 193,515.85 and 82,892.16 is: 114,361.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,265 : 193,515.85 = 82,892.16 : x
  2. Step 2: Convert to fraction form
    140,265/193,515.85 = 82,892.16/x
  3. Step 3: Cross multiply
    140,265x = 193,515.85 × 82,892.16
  4. Step 4: Simplify right side
    140,265x = 16,040,946,800.74
  5. Step 5: Solve for x
    x = 16,040,946,800.74/140,265
  6. Step 6: Final answer
    x = 114,361.72

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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.