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Finding the Fourth Proportional to 274,634.26, 411,952.76 and 97,141.43

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Solution

The fourth proportional to 274,634.26, 411,952.76 and 97,141.43 is: 145,712.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,634.26 : 411,952.76 = 97,141.43 : x
  2. Step 2: Convert to fraction form
    274,634.26/411,952.76 = 97,141.43/x
  3. Step 3: Cross multiply
    274,634.26x = 411,952.76 × 97,141.43
  4. Step 4: Simplify right side
    274,634.26x = 40,017,680,198.85
  5. Step 5: Solve for x
    x = 40,017,680,198.85/274,634.26
  6. Step 6: Final answer
    x = 145,712.63

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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.