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Finding the Fourth Proportional to 180,578.26, 270,868.75 and 47,458.29

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Solution

The fourth proportional to 180,578.26, 270,868.75 and 47,458.29 is: 71,187.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,578.26 : 270,868.75 = 47,458.29 : x
  2. Step 2: Convert to fraction form
    180,578.26/270,868.75 = 47,458.29/x
  3. Step 3: Cross multiply
    180,578.26x = 270,868.75 × 47,458.29
  4. Step 4: Simplify right side
    180,578.26x = 12,854,967,689.44
  5. Step 5: Solve for x
    x = 12,854,967,689.44/180,578.26
  6. Step 6: Final answer
    x = 71,187.79

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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.