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Finding the Fourth Proportional to 274,513.67, 411,841.49 and 160,757.55

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Solution

The fourth proportional to 274,513.67, 411,841.49 and 160,757.55 is: 241,177.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,513.67 : 411,841.49 = 160,757.55 : x
  2. Step 2: Convert to fraction form
    274,513.67/411,841.49 = 160,757.55/x
  3. Step 3: Cross multiply
    274,513.67x = 411,841.49 × 160,757.55
  4. Step 4: Simplify right side
    274,513.67x = 66,206,628,116.96
  5. Step 5: Solve for x
    x = 66,206,628,116.96/274,513.67
  6. Step 6: Final answer
    x = 241,177.90

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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.