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Finding the Fourth Proportional to 271,132.52, 406,605.16 and 111,163.06

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Solution

The fourth proportional to 271,132.52, 406,605.16 and 111,163.06 is: 166,706.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,132.52 : 406,605.16 = 111,163.06 : x
  2. Step 2: Convert to fraction form
    271,132.52/406,605.16 = 111,163.06/x
  3. Step 3: Cross multiply
    271,132.52x = 406,605.16 × 111,163.06
  4. Step 4: Simplify right side
    271,132.52x = 45,199,473,797.39
  5. Step 5: Solve for x
    x = 45,199,473,797.39/271,132.52
  6. Step 6: Final answer
    x = 166,706.21

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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.