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Finding the Fourth Proportional to 199,197.56, 274,892.64 and 109,773.56

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Solution

The fourth proportional to 199,197.56, 274,892.64 and 109,773.56 is: 151,487.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,197.56 : 274,892.64 = 109,773.56 : x
  2. Step 2: Convert to fraction form
    199,197.56/274,892.64 = 109,773.56/x
  3. Step 3: Cross multiply
    199,197.56x = 274,892.64 × 109,773.56
  4. Step 4: Simplify right side
    199,197.56x = 30,175,943,986.18
  5. Step 5: Solve for x
    x = 30,175,943,986.18/199,197.56
  6. Step 6: Final answer
    x = 151,487.52

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Why These Related Problems?

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