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Finding the Fourth Proportional to 206,626.22, 309,898.48 and 56,827.84

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Solution

The fourth proportional to 206,626.22, 309,898.48 and 56,827.84 is: 85,230.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,626.22 : 309,898.48 = 56,827.84 : x
  2. Step 2: Convert to fraction form
    206,626.22/309,898.48 = 56,827.84/x
  3. Step 3: Cross multiply
    206,626.22x = 309,898.48 × 56,827.84
  4. Step 4: Simplify right side
    206,626.22x = 17,610,861,237.68
  5. Step 5: Solve for x
    x = 17,610,861,237.68/206,626.22
  6. Step 6: Final answer
    x = 85,230.53

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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.