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Finding the Fourth Proportional to 268,364.20, 402,546.30 and 206,156.20

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Solution

The fourth proportional to 268,364.20, 402,546.30 and 206,156.20 is: 309,234.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,364.20 : 402,546.30 = 206,156.20 : x
  2. Step 2: Convert to fraction form
    268,364.20/402,546.30 = 206,156.20/x
  3. Step 3: Cross multiply
    268,364.20x = 402,546.30 × 206,156.20
  4. Step 4: Simplify right side
    268,364.20x = 82,987,415,532.06
  5. Step 5: Solve for x
    x = 82,987,415,532.06/268,364.20
  6. Step 6: Final answer
    x = 309,234.30

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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.