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Finding the Fourth Proportional to 206,522.96, 309,724.85 and 56,768.13

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Solution

The fourth proportional to 206,522.96, 309,724.85 and 56,768.13 is: 85,135.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,522.96 : 309,724.85 = 56,768.13 : x
  2. Step 2: Convert to fraction form
    206,522.96/309,724.85 = 56,768.13/x
  3. Step 3: Cross multiply
    206,522.96x = 309,724.85 × 56,768.13
  4. Step 4: Simplify right side
    206,522.96x = 17,582,500,265.19
  5. Step 5: Solve for x
    x = 17,582,500,265.19/206,522.96
  6. Step 6: Final answer
    x = 85,135.82

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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.