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Finding the Fourth Proportional to 271,354.73, 407,051.52 and 71,673.12

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Solution

The fourth proportional to 271,354.73, 407,051.52 and 71,673.12 is: 107,514.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,354.73 : 407,051.52 = 71,673.12 : x
  2. Step 2: Convert to fraction form
    271,354.73/407,051.52 = 71,673.12/x
  3. Step 3: Cross multiply
    271,354.73x = 407,051.52 × 71,673.12
  4. Step 4: Simplify right side
    271,354.73x = 29,174,652,439.14
  5. Step 5: Solve for x
    x = 29,174,652,439.14/271,354.73
  6. Step 6: Final answer
    x = 107,514.81

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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.