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Finding the Fourth Proportional to 193,642.13, 290,512.48 and 113,747.66

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Solution

The fourth proportional to 193,642.13, 290,512.48 and 113,747.66 is: 170,650.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,642.13 : 290,512.48 = 113,747.66 : x
  2. Step 2: Convert to fraction form
    193,642.13/290,512.48 = 113,747.66/x
  3. Step 3: Cross multiply
    193,642.13x = 290,512.48 × 113,747.66
  4. Step 4: Simplify right side
    193,642.13x = 33,045,113,063.87
  5. Step 5: Solve for x
    x = 33,045,113,063.87/193,642.13
  6. Step 6: Final answer
    x = 170,650.43

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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.