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Finding the Fourth Proportional to 197,599.49, 296,399.99 and 47,839.55

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Solution

The fourth proportional to 197,599.49, 296,399.99 and 47,839.55 is: 71,759.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,599.49 : 296,399.99 = 47,839.55 : x
  2. Step 2: Convert to fraction form
    197,599.49/296,399.99 = 47,839.55/x
  3. Step 3: Cross multiply
    197,599.49x = 296,399.99 × 47,839.55
  4. Step 4: Simplify right side
    197,599.49x = 14,179,640,420.41
  5. Step 5: Solve for x
    x = 14,179,640,420.41/197,599.49
  6. Step 6: Final answer
    x = 71,759.50

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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.