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Finding the Fourth Proportional to 271,755.35, 407,536.02 and 111,784.53

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Solution

The fourth proportional to 271,755.35, 407,536.02 and 111,784.53 is: 167,636.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,755.35 : 407,536.02 = 111,784.53 : x
  2. Step 2: Convert to fraction form
    271,755.35/407,536.02 = 111,784.53/x
  3. Step 3: Cross multiply
    271,755.35x = 407,536.02 × 111,784.53
  4. Step 4: Simplify right side
    271,755.35x = 45,556,222,453.77
  5. Step 5: Solve for x
    x = 45,556,222,453.77/271,755.35
  6. Step 6: Final answer
    x = 167,636.90

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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.