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Finding the Fourth Proportional to 198,797.80, 298,094.54 and 58,538.20

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Solution

The fourth proportional to 198,797.80, 298,094.54 and 58,538.20 is: 87,777.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,797.80 : 298,094.54 = 58,538.20 : x
  2. Step 2: Convert to fraction form
    198,797.80/298,094.54 = 58,538.20/x
  3. Step 3: Cross multiply
    198,797.80x = 298,094.54 × 58,538.20
  4. Step 4: Simplify right side
    198,797.80x = 17,449,917,801.43
  5. Step 5: Solve for x
    x = 17,449,917,801.43/198,797.80
  6. Step 6: Final answer
    x = 87,777.22

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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.