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Finding the Fourth Proportional to 253,416.96, 379,605.36 and 126,678

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Solution

The fourth proportional to 253,416.96, 379,605.36 and 126,678 is: 189,757.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,416.96 : 379,605.36 = 126,678 : x
  2. Step 2: Convert to fraction form
    253,416.96/379,605.36 = 126,678/x
  3. Step 3: Cross multiply
    253,416.96x = 379,605.36 × 126,678
  4. Step 4: Simplify right side
    253,416.96x = 48,087,647,794.08
  5. Step 5: Solve for x
    x = 48,087,647,794.08/253,416.96
  6. Step 6: Final answer
    x = 189,757.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.