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Finding the Fourth Proportional to 206,588.34, 309,857.94 and 56,843.91

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Solution

The fourth proportional to 206,588.34, 309,857.94 and 56,843.91 is: 85,259.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,588.34 : 309,857.94 = 56,843.91 : x
  2. Step 2: Convert to fraction form
    206,588.34/309,857.94 = 56,843.91/x
  3. Step 3: Cross multiply
    206,588.34x = 309,857.94 × 56,843.91
  4. Step 4: Simplify right side
    206,588.34x = 17,613,536,854.15
  5. Step 5: Solve for x
    x = 17,613,536,854.15/206,588.34
  6. Step 6: Final answer
    x = 85,259.10

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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.