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Finding the Fourth Proportional to 206,700.29, 310,022.19 and 56,919.04

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Solution

The fourth proportional to 206,700.29, 310,022.19 and 56,919.04 is: 85,370.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,700.29 : 310,022.19 = 56,919.04 : x
  2. Step 2: Convert to fraction form
    206,700.29/310,022.19 = 56,919.04/x
  3. Step 3: Cross multiply
    206,700.29x = 310,022.19 × 56,919.04
  4. Step 4: Simplify right side
    206,700.29x = 17,646,165,433.50
  5. Step 5: Solve for x
    x = 17,646,165,433.50/206,700.29
  6. Step 6: Final answer
    x = 85,370.78

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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.