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Finding the Fourth Proportional to 193,894.88, 290,840.15 and 75,649.26

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Solution

The fourth proportional to 193,894.88, 290,840.15 and 75,649.26 is: 113,473.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,894.88 : 290,840.15 = 75,649.26 : x
  2. Step 2: Convert to fraction form
    193,894.88/290,840.15 = 75,649.26/x
  3. Step 3: Cross multiply
    193,894.88x = 290,840.15 × 75,649.26
  4. Step 4: Simplify right side
    193,894.88x = 22,001,841,747.54
  5. Step 5: Solve for x
    x = 22,001,841,747.54/193,894.88
  6. Step 6: Final answer
    x = 113,473.04

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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.