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Finding the Fourth Proportional to 193,893.75, 290,840.63 and 53,652.38

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Solution

The fourth proportional to 193,893.75, 290,840.63 and 53,652.38 is: 80,478.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,893.75 : 290,840.63 = 53,652.38 : x
  2. Step 2: Convert to fraction form
    193,893.75/290,840.63 = 53,652.38/x
  3. Step 3: Cross multiply
    193,893.75x = 290,840.63 × 53,652.38
  4. Step 4: Simplify right side
    193,893.75x = 15,604,290,277.73
  5. Step 5: Solve for x
    x = 15,604,290,277.73/193,893.75
  6. Step 6: Final answer
    x = 80,478.56

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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.