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Finding the Fourth Proportional to 198,843.24, 274,312.92 and 118,224.88

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Solution

The fourth proportional to 198,843.24, 274,312.92 and 118,224.88 is: 163,096.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,843.24 : 274,312.92 = 118,224.88 : x
  2. Step 2: Convert to fraction form
    198,843.24/274,312.92 = 118,224.88/x
  3. Step 3: Cross multiply
    198,843.24x = 274,312.92 × 118,224.88
  4. Step 4: Simplify right side
    198,843.24x = 32,430,612,049.45
  5. Step 5: Solve for x
    x = 32,430,612,049.45/198,843.24
  6. Step 6: Final answer
    x = 163,096.38

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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.