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Finding the Fourth Proportional to 193,894.20, 290,847.78 and 53,641.08

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Solution

The fourth proportional to 193,894.20, 290,847.78 and 53,641.08 is: 80,463.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,894.20 : 290,847.78 = 53,641.08 : x
  2. Step 2: Convert to fraction form
    193,894.20/290,847.78 = 53,641.08/x
  3. Step 3: Cross multiply
    193,894.20x = 290,847.78 × 53,641.08
  4. Step 4: Simplify right side
    193,894.20x = 15,601,389,034.80
  5. Step 5: Solve for x
    x = 15,601,389,034.80/193,894.20
  6. Step 6: Final answer
    x = 80,463.41

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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.