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Finding the Fourth Proportional to 271,564.52, 407,342.30 and 111,608.04

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Solution

The fourth proportional to 271,564.52, 407,342.30 and 111,608.04 is: 167,410.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,564.52 : 407,342.30 = 111,608.04 : x
  2. Step 2: Convert to fraction form
    271,564.52/407,342.30 = 111,608.04/x
  3. Step 3: Cross multiply
    271,564.52x = 407,342.30 × 111,608.04
  4. Step 4: Simplify right side
    271,564.52x = 45,462,675,712.09
  5. Step 5: Solve for x
    x = 45,462,675,712.09/271,564.52
  6. Step 6: Final answer
    x = 167,410.22

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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.