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Finding the Fourth Proportional to 206,967.09, 285,624.76 and 126,381.61

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Solution

The fourth proportional to 206,967.09, 285,624.76 and 126,381.61 is: 174,412.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,967.09 : 285,624.76 = 126,381.61 : x
  2. Step 2: Convert to fraction form
    206,967.09/285,624.76 = 126,381.61/x
  3. Step 3: Cross multiply
    206,967.09x = 285,624.76 × 126,381.61
  4. Step 4: Simplify right side
    206,967.09x = 36,097,715,994.65
  5. Step 5: Solve for x
    x = 36,097,715,994.65/206,967.09
  6. Step 6: Final answer
    x = 174,412.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.