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Finding the Fourth Proportional to 131,993.40, 197,990.49 and 32,153.64

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Solution

The fourth proportional to 131,993.40, 197,990.49 and 32,153.64 is: 48,230.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,993.40 : 197,990.49 = 32,153.64 : x
  2. Step 2: Convert to fraction form
    131,993.40/197,990.49 = 32,153.64/x
  3. Step 3: Cross multiply
    131,993.40x = 197,990.49 × 32,153.64
  4. Step 4: Simplify right side
    131,993.40x = 6,366,114,938.88
  5. Step 5: Solve for x
    x = 6,366,114,938.88/131,993.40
  6. Step 6: Final answer
    x = 48,230.56

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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.