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Finding the Fourth Proportional to 82,515.60, 123,773.40 and 20,186.10

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Solution

The fourth proportional to 82,515.60, 123,773.40 and 20,186.10 is: 30,279.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,515.60 : 123,773.40 = 20,186.10 : x
  2. Step 2: Convert to fraction form
    82,515.60/123,773.40 = 20,186.10/x
  3. Step 3: Cross multiply
    82,515.60x = 123,773.40 × 20,186.10
  4. Step 4: Simplify right side
    82,515.60x = 2,498,502,229.74
  5. Step 5: Solve for x
    x = 2,498,502,229.74/82,515.60
  6. Step 6: Final answer
    x = 30,279.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.