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Finding the Fourth Proportional to 196,040.68, 293,538.78 and 133,832.68

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Solution

The fourth proportional to 196,040.68, 293,538.78 and 133,832.68 is: 200,392.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,040.68 : 293,538.78 = 133,832.68 : x
  2. Step 2: Convert to fraction form
    196,040.68/293,538.78 = 133,832.68/x
  3. Step 3: Cross multiply
    196,040.68x = 293,538.78 × 133,832.68
  4. Step 4: Simplify right side
    196,040.68x = 39,285,081,611.33
  5. Step 5: Solve for x
    x = 39,285,081,611.33/196,040.68
  6. Step 6: Final answer
    x = 200,392.50

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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.