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Finding the Fourth Proportional to 193,893.20, 290,846.28 and 53,640.08

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Solution

The fourth proportional to 193,893.20, 290,846.28 and 53,640.08 is: 80,461.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,893.20 : 290,846.28 = 53,640.08 : x
  2. Step 2: Convert to fraction form
    193,893.20/290,846.28 = 53,640.08/x
  3. Step 3: Cross multiply
    193,893.20x = 290,846.28 × 53,640.08
  4. Step 4: Simplify right side
    193,893.20x = 15,601,017,726.90
  5. Step 5: Solve for x
    x = 15,601,017,726.90/193,893.20
  6. Step 6: Final answer
    x = 80,461.91

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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.