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Finding the Fourth Proportional to 188,282.50, 259,852.89 and 108,794.50

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Solution

The fourth proportional to 188,282.50, 259,852.89 and 108,794.50 is: 150,149.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,282.50 : 259,852.89 = 108,794.50 : x
  2. Step 2: Convert to fraction form
    188,282.50/259,852.89 = 108,794.50/x
  3. Step 3: Cross multiply
    188,282.50x = 259,852.89 × 108,794.50
  4. Step 4: Simplify right side
    188,282.50x = 28,270,565,241.11
  5. Step 5: Solve for x
    x = 28,270,565,241.11/188,282.50
  6. Step 6: Final answer
    x = 150,149.72

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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.