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Finding the Fourth Proportional to 274,213.69, 411,319.72 and 96,677.89

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Solution

The fourth proportional to 274,213.69, 411,319.72 and 96,677.89 is: 145,016.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,213.69 : 411,319.72 = 96,677.89 : x
  2. Step 2: Convert to fraction form
    274,213.69/411,319.72 = 96,677.89/x
  3. Step 3: Cross multiply
    274,213.69x = 411,319.72 × 96,677.89
  4. Step 4: Simplify right side
    274,213.69x = 39,765,522,644.99
  5. Step 5: Solve for x
    x = 39,765,522,644.99/274,213.69
  6. Step 6: Final answer
    x = 145,016.55

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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.