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Finding the Fourth Proportional to 198,597.89, 274,059.26 and 107,951.52

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Solution

The fourth proportional to 198,597.89, 274,059.26 and 107,951.52 is: 148,969.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,597.89 : 274,059.26 = 107,951.52 : x
  2. Step 2: Convert to fraction form
    198,597.89/274,059.26 = 107,951.52/x
  3. Step 3: Cross multiply
    198,597.89x = 274,059.26 × 107,951.52
  4. Step 4: Simplify right side
    198,597.89x = 29,585,114,102.34
  5. Step 5: Solve for x
    x = 29,585,114,102.34/198,597.89
  6. Step 6: Final answer
    x = 148,969.93

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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.