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Finding the Fourth Proportional to 82,194.62, 123,291.96 and 19,865.12

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Solution

The fourth proportional to 82,194.62, 123,291.96 and 19,865.12 is: 29,797.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,194.62 : 123,291.96 = 19,865.12 : x
  2. Step 2: Convert to fraction form
    82,194.62/123,291.96 = 19,865.12/x
  3. Step 3: Cross multiply
    82,194.62x = 123,291.96 × 19,865.12
  4. Step 4: Simplify right side
    82,194.62x = 2,449,209,580.44
  5. Step 5: Solve for x
    x = 2,449,209,580.44/82,194.62
  6. Step 6: Final answer
    x = 29,797.69

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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.