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Finding the Fourth Proportional to 193,806.72, 290,824.56 and 105,058.08

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Solution

The fourth proportional to 193,806.72, 290,824.56 and 105,058.08 is: 157,649.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,806.72 : 290,824.56 = 105,058.08 : x
  2. Step 2: Convert to fraction form
    193,806.72/290,824.56 = 105,058.08/x
  3. Step 3: Cross multiply
    193,806.72x = 290,824.56 × 105,058.08
  4. Step 4: Simplify right side
    193,806.72x = 30,553,469,890.44
  5. Step 5: Solve for x
    x = 30,553,469,890.44/193,806.72
  6. Step 6: Final answer
    x = 157,649.18

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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.