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Finding the Fourth Proportional to 188,169.83, 259,556.25 and 111,634.74

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Solution

The fourth proportional to 188,169.83, 259,556.25 and 111,634.74 is: 153,985.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,169.83 : 259,556.25 = 111,634.74 : x
  2. Step 2: Convert to fraction form
    188,169.83/259,556.25 = 111,634.74/x
  3. Step 3: Cross multiply
    188,169.83x = 259,556.25 × 111,634.74
  4. Step 4: Simplify right side
    188,169.83x = 28,975,494,928.27
  5. Step 5: Solve for x
    x = 28,975,494,928.27/188,169.83
  6. Step 6: Final answer
    x = 153,985.87

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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.