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Finding the Fourth Proportional to 271,148, 406,781.56 and 111,224.88

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Solution

The fourth proportional to 271,148, 406,781.56 and 111,224.88 is: 166,861.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,148 : 406,781.56 = 111,224.88 : x
  2. Step 2: Convert to fraction form
    271,148/406,781.56 = 111,224.88/x
  3. Step 3: Cross multiply
    271,148x = 406,781.56 × 111,224.88
  4. Step 4: Simplify right side
    271,148x = 45,244,230,197.21
  5. Step 5: Solve for x
    x = 45,244,230,197.21/271,148
  6. Step 6: Final answer
    x = 166,861.75

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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.