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Finding the Fourth Proportional to 206,601.70, 309,902.55 and 197,853.70

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Solution

The fourth proportional to 206,601.70, 309,902.55 and 197,853.70 is: 296,780.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,601.70 : 309,902.55 = 197,853.70 : x
  2. Step 2: Convert to fraction form
    206,601.70/309,902.55 = 197,853.70/x
  3. Step 3: Cross multiply
    206,601.70x = 309,902.55 × 197,853.70
  4. Step 4: Simplify right side
    206,601.70x = 61,315,366,156.94
  5. Step 5: Solve for x
    x = 61,315,366,156.94/206,601.70
  6. Step 6: Final answer
    x = 296,780.55

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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.