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Finding the Fourth Proportional to 193,645.44, 290,460.26 and 67,314.33

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Solution

The fourth proportional to 193,645.44, 290,460.26 and 67,314.33 is: 100,968.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,645.44 : 290,460.26 = 67,314.33 : x
  2. Step 2: Convert to fraction form
    193,645.44/290,460.26 = 67,314.33/x
  3. Step 3: Cross multiply
    193,645.44x = 290,460.26 × 67,314.33
  4. Step 4: Simplify right side
    193,645.44x = 19,552,137,961.81
  5. Step 5: Solve for x
    x = 19,552,137,961.81/193,645.44
  6. Step 6: Final answer
    x = 100,968.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.