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Finding the Fourth Proportional to 85,757.44, 128,833.92 and 82,214.56

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Solution

The fourth proportional to 85,757.44, 128,833.92 and 82,214.56 is: 123,511.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,757.44 : 128,833.92 = 82,214.56 : x
  2. Step 2: Convert to fraction form
    85,757.44/128,833.92 = 82,214.56/x
  3. Step 3: Cross multiply
    85,757.44x = 128,833.92 × 82,214.56
  4. Step 4: Simplify right side
    85,757.44x = 10,592,024,045.88
  5. Step 5: Solve for x
    x = 10,592,024,045.88/85,757.44
  6. Step 6: Final answer
    x = 123,511.43

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1.5x scale

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.