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Finding the Fourth Proportional to 82,264.80, 123,321.60 and 82,214.40

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Solution

The fourth proportional to 82,264.80, 123,321.60 and 82,214.40 is: 123,246.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,264.80 : 123,321.60 = 82,214.40 : x
  2. Step 2: Convert to fraction form
    82,264.80/123,321.60 = 82,214.40/x
  3. Step 3: Cross multiply
    82,264.80x = 123,321.60 × 82,214.40
  4. Step 4: Simplify right side
    82,264.80x = 10,138,811,351.04
  5. Step 5: Solve for x
    x = 10,138,811,351.04/82,264.80
  6. Step 6: Final answer
    x = 123,246.05

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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.