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Finding the Fourth Proportional to 188,089.34, 259,563.32 and 107,518.64

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Solution

The fourth proportional to 188,089.34, 259,563.32 and 107,518.64 is: 148,375.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,089.34 : 259,563.32 = 107,518.64 : x
  2. Step 2: Convert to fraction form
    188,089.34/259,563.32 = 107,518.64/x
  3. Step 3: Cross multiply
    188,089.34x = 259,563.32 × 107,518.64
  4. Step 4: Simplify right side
    188,089.34x = 27,907,893,324.88
  5. Step 5: Solve for x
    x = 27,907,893,324.88/188,089.34
  6. Step 6: Final answer
    x = 148,375.73

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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.