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Finding the Fourth Proportional to 206,809.92, 310,251.24 and 106,942.92

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Solution

The fourth proportional to 206,809.92, 310,251.24 and 106,942.92 is: 160,433.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,809.92 : 310,251.24 = 106,942.92 : x
  2. Step 2: Convert to fraction form
    206,809.92/310,251.24 = 106,942.92/x
  3. Step 3: Cross multiply
    206,809.92x = 310,251.24 × 106,942.92
  4. Step 4: Simplify right side
    206,809.92x = 33,179,173,539.22
  5. Step 5: Solve for x
    x = 33,179,173,539.22/206,809.92
  6. Step 6: Final answer
    x = 160,433.18

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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.