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Finding the Fourth Proportional to 193,712.49, 290,615.58 and 67,334.49

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Solution

The fourth proportional to 193,712.49, 290,615.58 and 67,334.49 is: 101,018.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,712.49 : 290,615.58 = 67,334.49 : x
  2. Step 2: Convert to fraction form
    193,712.49/290,615.58 = 67,334.49/x
  3. Step 3: Cross multiply
    193,712.49x = 290,615.58 × 67,334.49
  4. Step 4: Simplify right side
    193,712.49x = 19,568,451,865.35
  5. Step 5: Solve for x
    x = 19,568,451,865.35/193,712.49
  6. Step 6: Final answer
    x = 101,018.02

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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.