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Finding the Fourth Proportional to 82,615.41, 123,234.95 and 74,642.85

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Solution

The fourth proportional to 82,615.41, 123,234.95 and 74,642.85 is: 111,342.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,615.41 : 123,234.95 = 74,642.85 : x
  2. Step 2: Convert to fraction form
    82,615.41/123,234.95 = 74,642.85/x
  3. Step 3: Cross multiply
    82,615.41x = 123,234.95 × 74,642.85
  4. Step 4: Simplify right side
    82,615.41x = 9,198,608,074.21
  5. Step 5: Solve for x
    x = 9,198,608,074.21/82,615.41
  6. Step 6: Final answer
    x = 111,342.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.