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Finding the Fourth Proportional to 188,193.89, 259,644.21 and 107,564.33

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Solution

The fourth proportional to 188,193.89, 259,644.21 and 107,564.33 is: 148,402.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,193.89 : 259,644.21 = 107,564.33 : x
  2. Step 2: Convert to fraction form
    188,193.89/259,644.21 = 107,564.33/x
  3. Step 3: Cross multiply
    188,193.89x = 259,644.21 × 107,564.33
  4. Step 4: Simplify right side
    188,193.89x = 27,928,455,487.03
  5. Step 5: Solve for x
    x = 27,928,455,487.03/188,193.89
  6. Step 6: Final answer
    x = 148,402.56

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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.