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Finding the Fourth Proportional to 82,781.67, 123,485.22 and 80,014.20

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Solution

The fourth proportional to 82,781.67, 123,485.22 and 80,014.20 is: 119,356.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,781.67 : 123,485.22 = 80,014.20 : x
  2. Step 2: Convert to fraction form
    82,781.67/123,485.22 = 80,014.20/x
  3. Step 3: Cross multiply
    82,781.67x = 123,485.22 × 80,014.20
  4. Step 4: Simplify right side
    82,781.67x = 9,880,571,090.12
  5. Step 5: Solve for x
    x = 9,880,571,090.12/82,781.67
  6. Step 6: Final answer
    x = 119,356.99

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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.