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Finding the Fourth Proportional to 206,084.70, 308,670.36 and 158,348.46

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Solution

The fourth proportional to 206,084.70, 308,670.36 and 158,348.46 is: 237,171.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,084.70 : 308,670.36 = 158,348.46 : x
  2. Step 2: Convert to fraction form
    206,084.70/308,670.36 = 158,348.46/x
  3. Step 3: Cross multiply
    206,084.70x = 308,670.36 × 158,348.46
  4. Step 4: Simplify right side
    206,084.70x = 48,877,476,153.65
  5. Step 5: Solve for x
    x = 48,877,476,153.65/206,084.70
  6. Step 6: Final answer
    x = 237,171.78

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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.