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Finding the Fourth Proportional to 199,253.82, 274,975.50 and 122,823.42

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Solution

The fourth proportional to 199,253.82, 274,975.50 and 122,823.42 is: 169,499.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,253.82 : 274,975.50 = 122,823.42 : x
  2. Step 2: Convert to fraction form
    199,253.82/274,975.50 = 122,823.42/x
  3. Step 3: Cross multiply
    199,253.82x = 274,975.50 × 122,823.42
  4. Step 4: Simplify right side
    199,253.82x = 33,773,431,326.21
  5. Step 5: Solve for x
    x = 33,773,431,326.21/199,253.82
  6. Step 6: Final answer
    x = 169,499.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.