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Finding the Fourth Proportional to 271,498.50, 407,306.24 and 81,943

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Solution

The fourth proportional to 271,498.50, 407,306.24 and 81,943 is: 122,932.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,498.50 : 407,306.24 = 81,943 : x
  2. Step 2: Convert to fraction form
    271,498.50/407,306.24 = 81,943/x
  3. Step 3: Cross multiply
    271,498.50x = 407,306.24 × 81,943
  4. Step 4: Simplify right side
    271,498.50x = 33,375,895,224.32
  5. Step 5: Solve for x
    x = 33,375,895,224.32/271,498.50
  6. Step 6: Final answer
    x = 122,932.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.