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Finding the Fourth Proportional to 198,588.73, 297,880.47 and 48,830.32

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Solution

The fourth proportional to 198,588.73, 297,880.47 and 48,830.32 is: 73,244.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,588.73 : 297,880.47 = 48,830.32 : x
  2. Step 2: Convert to fraction form
    198,588.73/297,880.47 = 48,830.32/x
  3. Step 3: Cross multiply
    198,588.73x = 297,880.47 × 48,830.32
  4. Step 4: Simplify right side
    198,588.73x = 14,545,598,671.85
  5. Step 5: Solve for x
    x = 14,545,598,671.85/198,588.73
  6. Step 6: Final answer
    x = 73,244.83

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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.