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Finding the Fourth Proportional to 140,832, 194,348.16 and 81,216

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Solution

The fourth proportional to 140,832, 194,348.16 and 81,216 is: 112,078.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,832 : 194,348.16 = 81,216 : x
  2. Step 2: Convert to fraction form
    140,832/194,348.16 = 81,216/x
  3. Step 3: Cross multiply
    140,832x = 194,348.16 × 81,216
  4. Step 4: Simplify right side
    140,832x = 15,784,180,162.56
  5. Step 5: Solve for x
    x = 15,784,180,162.56/140,832
  6. Step 6: Final answer
    x = 112,078.08

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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.