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Finding the Fourth Proportional to 193,625.84, 290,552.52 and 81,297.42

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Solution

The fourth proportional to 193,625.84, 290,552.52 and 81,297.42 is: 121,993.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,625.84 : 290,552.52 = 81,297.42 : x
  2. Step 2: Convert to fraction form
    193,625.84/290,552.52 = 81,297.42/x
  3. Step 3: Cross multiply
    193,625.84x = 290,552.52 × 81,297.42
  4. Step 4: Simplify right side
    193,625.84x = 23,621,170,250.50
  5. Step 5: Solve for x
    x = 23,621,170,250.50/193,625.84
  6. Step 6: Final answer
    x = 121,993.89

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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.