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Finding the Fourth Proportional to 172,858.26, 259,287.40 and 41,530.26

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Solution

The fourth proportional to 172,858.26, 259,287.40 and 41,530.26 is: 62,295.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,858.26 : 259,287.40 = 41,530.26 : x
  2. Step 2: Convert to fraction form
    172,858.26/259,287.40 = 41,530.26/x
  3. Step 3: Cross multiply
    172,858.26x = 259,287.40 × 41,530.26
  4. Step 4: Simplify right side
    172,858.26x = 10,768,273,136.72
  5. Step 5: Solve for x
    x = 10,768,273,136.72/172,858.26
  6. Step 6: Final answer
    x = 62,295.39

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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.