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Finding the Fourth Proportional to 193,758.96, 290,643.96 and 53,517.60

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Solution

The fourth proportional to 193,758.96, 290,643.96 and 53,517.60 is: 80,277.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,758.96 : 290,643.96 = 53,517.60 : x
  2. Step 2: Convert to fraction form
    193,758.96/290,643.96 = 53,517.60/x
  3. Step 3: Cross multiply
    193,758.96x = 290,643.96 × 53,517.60
  4. Step 4: Simplify right side
    193,758.96x = 15,554,567,193.70
  5. Step 5: Solve for x
    x = 15,554,567,193.70/193,758.96
  6. Step 6: Final answer
    x = 80,277.92

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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.