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Finding the Fourth Proportional to 82,364.40, 123,546.60 and 81,781.20

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Solution

The fourth proportional to 82,364.40, 123,546.60 and 81,781.20 is: 122,671.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,364.40 : 123,546.60 = 81,781.20 : x
  2. Step 2: Convert to fraction form
    82,364.40/123,546.60 = 81,781.20/x
  3. Step 3: Cross multiply
    82,364.40x = 123,546.60 × 81,781.20
  4. Step 4: Simplify right side
    82,364.40x = 10,103,789,203.92
  5. Step 5: Solve for x
    x = 10,103,789,203.92/82,364.40
  6. Step 6: Final answer
    x = 122,671.80

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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.