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Finding the Fourth Proportional to 206,964.20, 310,446.30 and 171,972.20

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Solution

The fourth proportional to 206,964.20, 310,446.30 and 171,972.20 is: 257,958.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,964.20 : 310,446.30 = 171,972.20 : x
  2. Step 2: Convert to fraction form
    206,964.20/310,446.30 = 171,972.20/x
  3. Step 3: Cross multiply
    206,964.20x = 310,446.30 × 171,972.20
  4. Step 4: Simplify right side
    206,964.20x = 53,388,133,192.86
  5. Step 5: Solve for x
    x = 53,388,133,192.86/206,964.20
  6. Step 6: Final answer
    x = 257,958.30

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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.