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Finding the Fourth Proportional to 271,756.35, 407,537.52 and 111,785.53

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Solution

The fourth proportional to 271,756.35, 407,537.52 and 111,785.53 is: 167,638.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,756.35 : 407,537.52 = 111,785.53 : x
  2. Step 2: Convert to fraction form
    271,756.35/407,537.52 = 111,785.53/x
  3. Step 3: Cross multiply
    271,756.35x = 407,537.52 × 111,785.53
  4. Step 4: Simplify right side
    271,756.35x = 45,556,797,668.09
  5. Step 5: Solve for x
    x = 45,556,797,668.09/271,756.35
  6. Step 6: Final answer
    x = 167,638.39

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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.