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Finding the Fourth Proportional to 188,992.39, 283,481.49 and 46,838.08

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Solution

The fourth proportional to 188,992.39, 283,481.49 and 46,838.08 is: 70,255.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,992.39 : 283,481.49 = 46,838.08 : x
  2. Step 2: Convert to fraction form
    188,992.39/283,481.49 = 46,838.08/x
  3. Step 3: Cross multiply
    188,992.39x = 283,481.49 × 46,838.08
  4. Step 4: Simplify right side
    188,992.39x = 13,277,728,707.14
  5. Step 5: Solve for x
    x = 13,277,728,707.14/188,992.39
  6. Step 6: Final answer
    x = 70,255.36

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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.