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Finding the Fourth Proportional to 206,254.60, 309,612.30 and 192,718.60

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Solution

The fourth proportional to 206,254.60, 309,612.30 and 192,718.60 is: 289,293.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,254.60 : 309,612.30 = 192,718.60 : x
  2. Step 2: Convert to fraction form
    206,254.60/309,612.30 = 192,718.60/x
  3. Step 3: Cross multiply
    206,254.60x = 309,612.30 × 192,718.60
  4. Step 4: Simplify right side
    206,254.60x = 59,668,048,998.78
  5. Step 5: Solve for x
    x = 59,668,048,998.78/206,254.60
  6. Step 6: Final answer
    x = 289,293.18

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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.