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Finding the Fourth Proportional to 198,558.88, 297,835.72 and 48,800.48

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Solution

The fourth proportional to 198,558.88, 297,835.72 and 48,800.48 is: 73,200.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,558.88 : 297,835.72 = 48,800.48 : x
  2. Step 2: Convert to fraction form
    198,558.88/297,835.72 = 48,800.48/x
  3. Step 3: Cross multiply
    198,558.88x = 297,835.72 × 48,800.48
  4. Step 4: Simplify right side
    198,558.88x = 14,534,524,485.97
  5. Step 5: Solve for x
    x = 14,534,524,485.97/198,558.88
  6. Step 6: Final answer
    x = 73,200.07

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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.