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Finding the Fourth Proportional to 274,635.26, 411,954.26 and 97,142.43

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Solution

The fourth proportional to 274,635.26, 411,954.26 and 97,142.43 is: 145,714.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,635.26 : 411,954.26 = 97,142.43 : x
  2. Step 2: Convert to fraction form
    274,635.26/411,954.26 = 97,142.43/x
  3. Step 3: Cross multiply
    274,635.26x = 411,954.26 × 97,142.43
  4. Step 4: Simplify right side
    274,635.26x = 40,018,237,865.25
  5. Step 5: Solve for x
    x = 40,018,237,865.25/274,635.26
  6. Step 6: Final answer
    x = 145,714.13

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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.