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Finding the Fourth Proportional to 198,596.94, 274,033.20 and 117,994.62

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Solution

The fourth proportional to 198,596.94, 274,033.20 and 117,994.62 is: 162,814.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,596.94 : 274,033.20 = 117,994.62 : x
  2. Step 2: Convert to fraction form
    198,596.94/274,033.20 = 117,994.62/x
  3. Step 3: Cross multiply
    198,596.94x = 274,033.20 × 117,994.62
  4. Step 4: Simplify right side
    198,596.94x = 32,334,443,301.38
  5. Step 5: Solve for x
    x = 32,334,443,301.38/198,596.94
  6. Step 6: Final answer
    x = 162,814.41

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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.