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Finding the Fourth Proportional to 206,882.10, 310,323.15 and 101,906.10

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Solution

The fourth proportional to 206,882.10, 310,323.15 and 101,906.10 is: 152,859.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,882.10 : 310,323.15 = 101,906.10 : x
  2. Step 2: Convert to fraction form
    206,882.10/310,323.15 = 101,906.10/x
  3. Step 3: Cross multiply
    206,882.10x = 310,323.15 × 101,906.10
  4. Step 4: Simplify right side
    206,882.10x = 31,623,821,956.22
  5. Step 5: Solve for x
    x = 31,623,821,956.22/206,882.10
  6. Step 6: Final answer
    x = 152,859.15

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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.