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Finding the Fourth Proportional to 193,901.56, 290,843.88 and 60,778.78

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Solution

The fourth proportional to 193,901.56, 290,843.88 and 60,778.78 is: 91,165.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,901.56 : 290,843.88 = 60,778.78 : x
  2. Step 2: Convert to fraction form
    193,901.56/290,843.88 = 60,778.78/x
  3. Step 3: Cross multiply
    193,901.56x = 290,843.88 × 60,778.78
  4. Step 4: Simplify right side
    193,901.56x = 17,677,136,196.87
  5. Step 5: Solve for x
    x = 17,677,136,196.87/193,901.56
  6. Step 6: Final answer
    x = 91,165.52

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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.