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Finding the Fourth Proportional to 188,524.44, 260,164.62 and 103,647

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Solution

The fourth proportional to 188,524.44, 260,164.62 and 103,647 is: 143,033.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,524.44 : 260,164.62 = 103,647 : x
  2. Step 2: Convert to fraction form
    188,524.44/260,164.62 = 103,647/x
  3. Step 3: Cross multiply
    188,524.44x = 260,164.62 × 103,647
  4. Step 4: Simplify right side
    188,524.44x = 26,965,282,369.14
  5. Step 5: Solve for x
    x = 26,965,282,369.14/188,524.44
  6. Step 6: Final answer
    x = 143,033.35

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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.