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Finding the Fourth Proportional to 198,662.24, 297,990.84 and 48,904.40

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Solution

The fourth proportional to 198,662.24, 297,990.84 and 48,904.40 is: 73,355.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,662.24 : 297,990.84 = 48,904.40 : x
  2. Step 2: Convert to fraction form
    198,662.24/297,990.84 = 48,904.40/x
  3. Step 3: Cross multiply
    198,662.24x = 297,990.84 × 48,904.40
  4. Step 4: Simplify right side
    198,662.24x = 14,573,063,235.70
  5. Step 5: Solve for x
    x = 14,573,063,235.70/198,662.24
  6. Step 6: Final answer
    x = 73,355.98

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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.