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Finding the Fourth Proportional to 188,288, 259,860.48 and 108,800

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Solution

The fourth proportional to 188,288, 259,860.48 and 108,800 is: 150,157.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,288 : 259,860.48 = 108,800 : x
  2. Step 2: Convert to fraction form
    188,288/259,860.48 = 108,800/x
  3. Step 3: Cross multiply
    188,288x = 259,860.48 × 108,800
  4. Step 4: Simplify right side
    188,288x = 28,272,820,224
  5. Step 5: Solve for x
    x = 28,272,820,224/188,288
  6. Step 6: Final answer
    x = 150,157.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.