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Finding the Fourth Proportional to 82,208.90, 123,313.35 and 81,431.30

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Solution

The fourth proportional to 82,208.90, 123,313.35 and 81,431.30 is: 122,146.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,208.90 : 123,313.35 = 81,431.30 : x
  2. Step 2: Convert to fraction form
    82,208.90/123,313.35 = 81,431.30/x
  3. Step 3: Cross multiply
    82,208.90x = 123,313.35 × 81,431.30
  4. Step 4: Simplify right side
    82,208.90x = 10,041,566,397.86
  5. Step 5: Solve for x
    x = 10,041,566,397.86/82,208.90
  6. Step 6: Final answer
    x = 122,146.95

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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.