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Finding the Fourth Proportional to 206,416.20, 310,324.20 and 164,827.56

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Solution

The fourth proportional to 206,416.20, 310,324.20 and 164,827.56 is: 247,800.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,416.20 : 310,324.20 = 164,827.56 : x
  2. Step 2: Convert to fraction form
    206,416.20/310,324.20 = 164,827.56/x
  3. Step 3: Cross multiply
    206,416.20x = 310,324.20 × 164,827.56
  4. Step 4: Simplify right side
    206,416.20x = 51,149,980,694.95
  5. Step 5: Solve for x
    x = 51,149,980,694.95/206,416.20
  6. Step 6: Final answer
    x = 247,800.22

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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.