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Finding the Fourth Proportional to 199,324.59, 298,817.54 and 92,770.42

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Solution

The fourth proportional to 199,324.59, 298,817.54 and 92,770.42 is: 139,076.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,324.59 : 298,817.54 = 92,770.42 : x
  2. Step 2: Convert to fraction form
    199,324.59/298,817.54 = 92,770.42/x
  3. Step 3: Cross multiply
    199,324.59x = 298,817.54 × 92,770.42
  4. Step 4: Simplify right side
    199,324.59x = 27,721,428,386.44
  5. Step 5: Solve for x
    x = 27,721,428,386.44/199,324.59
  6. Step 6: Final answer
    x = 139,076.81

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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.