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Finding the Fourth Proportional to 207,229.40, 310,972.10 and 82,557.40

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Solution

The fourth proportional to 207,229.40, 310,972.10 and 82,557.40 is: 123,887.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,229.40 : 310,972.10 = 82,557.40 : x
  2. Step 2: Convert to fraction form
    207,229.40/310,972.10 = 82,557.40/x
  3. Step 3: Cross multiply
    207,229.40x = 310,972.10 × 82,557.40
  4. Step 4: Simplify right side
    207,229.40x = 25,673,048,048.54
  5. Step 5: Solve for x
    x = 25,673,048,048.54/207,229.40
  6. Step 6: Final answer
    x = 123,887.09

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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.