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Finding the Fourth Proportional to 381,162.75, 571,755.98 and 141,336.33

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Solution

The fourth proportional to 381,162.75, 571,755.98 and 141,336.33 is: 212,008.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,162.75 : 571,755.98 = 141,336.33 : x
  2. Step 2: Convert to fraction form
    381,162.75/571,755.98 = 141,336.33/x
  3. Step 3: Cross multiply
    381,162.75x = 571,755.98 × 141,336.33
  4. Step 4: Simplify right side
    381,162.75x = 80,809,892,222.09
  5. Step 5: Solve for x
    x = 80,809,892,222.09/381,162.75
  6. Step 6: Final answer
    x = 212,008.89

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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.