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Finding the Fourth Proportional to 198,089.84, 297,129.42 and 55,944.88

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Solution

The fourth proportional to 198,089.84, 297,129.42 and 55,944.88 is: 83,915.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,089.84 : 297,129.42 = 55,944.88 : x
  2. Step 2: Convert to fraction form
    198,089.84/297,129.42 = 55,944.88/x
  3. Step 3: Cross multiply
    198,089.84x = 297,129.42 × 55,944.88
  4. Step 4: Simplify right side
    198,089.84x = 16,622,869,003.55
  5. Step 5: Solve for x
    x = 16,622,869,003.55/198,089.84
  6. Step 6: Final answer
    x = 83,915.81

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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.