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Finding the Fourth Proportional to 82,015.20, 123,022.80 and 62,186.40

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Solution

The fourth proportional to 82,015.20, 123,022.80 and 62,186.40 is: 93,279.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,015.20 : 123,022.80 = 62,186.40 : x
  2. Step 2: Convert to fraction form
    82,015.20/123,022.80 = 62,186.40/x
  3. Step 3: Cross multiply
    82,015.20x = 123,022.80 × 62,186.40
  4. Step 4: Simplify right side
    82,015.20x = 7,650,345,049.92
  5. Step 5: Solve for x
    x = 7,650,345,049.92/82,015.20
  6. Step 6: Final answer
    x = 93,279.60

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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.