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Finding the Fourth Proportional to 188,097.96, 259,578.36 and 103,222.92

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Solution

The fourth proportional to 188,097.96, 259,578.36 and 103,222.92 is: 142,449.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,097.96 : 259,578.36 = 103,222.92 : x
  2. Step 2: Convert to fraction form
    188,097.96/259,578.36 = 103,222.92/x
  3. Step 3: Cross multiply
    188,097.96x = 259,578.36 × 103,222.92
  4. Step 4: Simplify right side
    188,097.96x = 26,794,436,288.01
  5. Step 5: Solve for x
    x = 26,794,436,288.01/188,097.96
  6. Step 6: Final answer
    x = 142,449.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.