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Finding the Fourth Proportional to 271,022.35, 373,998.24 and 148,514

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Solution

The fourth proportional to 271,022.35, 373,998.24 and 148,514 is: 204,942.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,022.35 : 373,998.24 = 148,514 : x
  2. Step 2: Convert to fraction form
    271,022.35/373,998.24 = 148,514/x
  3. Step 3: Cross multiply
    271,022.35x = 373,998.24 × 148,514
  4. Step 4: Simplify right side
    271,022.35x = 55,543,974,615.36
  5. Step 5: Solve for x
    x = 55,543,974,615.36/271,022.35
  6. Step 6: Final answer
    x = 204,942.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.