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Finding the Fourth Proportional to 82,198.19, 123,283.11 and 23,019.80

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Solution

The fourth proportional to 82,198.19, 123,283.11 and 23,019.80 is: 34,525.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,198.19 : 123,283.11 = 23,019.80 : x
  2. Step 2: Convert to fraction form
    82,198.19/123,283.11 = 23,019.80/x
  3. Step 3: Cross multiply
    82,198.19x = 123,283.11 × 23,019.80
  4. Step 4: Simplify right side
    82,198.19x = 2,837,952,005.49
  5. Step 5: Solve for x
    x = 2,837,952,005.49/82,198.19
  6. Step 6: Final answer
    x = 34,525.72

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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.