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Finding the Fourth Proportional to 206,416.50, 309,676.77 and 58,672.50

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Solution

The fourth proportional to 206,416.50, 309,676.77 and 58,672.50 is: 88,023.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,416.50 : 309,676.77 = 58,672.50 : x
  2. Step 2: Convert to fraction form
    206,416.50/309,676.77 = 58,672.50/x
  3. Step 3: Cross multiply
    206,416.50x = 309,676.77 × 58,672.50
  4. Step 4: Simplify right side
    206,416.50x = 18,169,510,287.83
  5. Step 5: Solve for x
    x = 18,169,510,287.83/206,416.50
  6. Step 6: Final answer
    x = 88,023.54

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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.