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Finding the Fourth Proportional to 206,883.30, 310,324.95 and 82,224.30

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Solution

The fourth proportional to 206,883.30, 310,324.95 and 82,224.30 is: 123,336.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,883.30 : 310,324.95 = 82,224.30 : x
  2. Step 2: Convert to fraction form
    206,883.30/310,324.95 = 82,224.30/x
  3. Step 3: Cross multiply
    206,883.30x = 310,324.95 × 82,224.30
  4. Step 4: Simplify right side
    206,883.30x = 25,516,251,786.29
  5. Step 5: Solve for x
    x = 25,516,251,786.29/206,883.30
  6. Step 6: Final answer
    x = 123,336.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.