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Finding the Fourth Proportional to 193,653.18, 290,494.26 and 53,410.50

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Solution

The fourth proportional to 193,653.18, 290,494.26 and 53,410.50 is: 80,119.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,653.18 : 290,494.26 = 53,410.50 : x
  2. Step 2: Convert to fraction form
    193,653.18/290,494.26 = 53,410.50/x
  3. Step 3: Cross multiply
    193,653.18x = 290,494.26 × 53,410.50
  4. Step 4: Simplify right side
    193,653.18x = 15,515,443,673.73
  5. Step 5: Solve for x
    x = 15,515,443,673.73/193,653.18
  6. Step 6: Final answer
    x = 80,119.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.