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Finding the Fourth Proportional to 188,282, 259,852.20 and 108,794

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Solution

The fourth proportional to 188,282, 259,852.20 and 108,794 is: 150,149.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,282 : 259,852.20 = 108,794 : x
  2. Step 2: Convert to fraction form
    188,282/259,852.20 = 108,794/x
  3. Step 3: Cross multiply
    188,282x = 259,852.20 × 108,794
  4. Step 4: Simplify right side
    188,282x = 28,270,360,246.80
  5. Step 5: Solve for x
    x = 28,270,360,246.80/188,282
  6. Step 6: Final answer
    x = 150,149.03

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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.