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Finding the Fourth Proportional to 206,727.70, 310,091.55 and 56,967.70

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Solution

The fourth proportional to 206,727.70, 310,091.55 and 56,967.70 is: 85,451.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,727.70 : 310,091.55 = 56,967.70 : x
  2. Step 2: Convert to fraction form
    206,727.70/310,091.55 = 56,967.70/x
  3. Step 3: Cross multiply
    206,727.70x = 310,091.55 × 56,967.70
  4. Step 4: Simplify right side
    206,727.70x = 17,665,202,392.94
  5. Step 5: Solve for x
    x = 17,665,202,392.94/206,727.70
  6. Step 6: Final answer
    x = 85,451.55

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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.