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Finding the Fourth Proportional to 198,796.73, 298,253.87 and 114,617.28

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Solution

The fourth proportional to 198,796.73, 298,253.87 and 114,617.28 is: 171,959.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,796.73 : 298,253.87 = 114,617.28 : x
  2. Step 2: Convert to fraction form
    198,796.73/298,253.87 = 114,617.28/x
  3. Step 3: Cross multiply
    198,796.73x = 298,253.87 × 114,617.28
  4. Step 4: Simplify right side
    198,796.73x = 34,185,046,948.74
  5. Step 5: Solve for x
    x = 34,185,046,948.74/198,796.73
  6. Step 6: Final answer
    x = 171,959.80

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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.