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Finding the Fourth Proportional to 274,175.22, 411,110.06 and 84,581.80

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Solution

The fourth proportional to 274,175.22, 411,110.06 and 84,581.80 is: 126,825.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,175.22 : 411,110.06 = 84,581.80 : x
  2. Step 2: Convert to fraction form
    274,175.22/411,110.06 = 84,581.80/x
  3. Step 3: Cross multiply
    274,175.22x = 411,110.06 × 84,581.80
  4. Step 4: Simplify right side
    274,175.22x = 34,772,428,872.91
  5. Step 5: Solve for x
    x = 34,772,428,872.91/274,175.22
  6. Step 6: Final answer
    x = 126,825.57

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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.