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Finding the Fourth Proportional to 206,580.94, 309,872.77 and 56,837.05

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Solution

The fourth proportional to 206,580.94, 309,872.77 and 56,837.05 is: 85,255.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,580.94 : 309,872.77 = 56,837.05 : x
  2. Step 2: Convert to fraction form
    206,580.94/309,872.77 = 56,837.05/x
  3. Step 3: Cross multiply
    206,580.94x = 309,872.77 × 56,837.05
  4. Step 4: Simplify right side
    206,580.94x = 17,612,254,122.13
  5. Step 5: Solve for x
    x = 17,612,254,122.13/206,580.94
  6. Step 6: Final answer
    x = 85,255.95

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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.