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Finding the Fourth Proportional to 197,672.70, 296,506.42 and 47,914.28

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Solution

The fourth proportional to 197,672.70, 296,506.42 and 47,914.28 is: 71,870.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,672.70 : 296,506.42 = 47,914.28 : x
  2. Step 2: Convert to fraction form
    197,672.70/296,506.42 = 47,914.28/x
  3. Step 3: Cross multiply
    197,672.70x = 296,506.42 × 47,914.28
  4. Step 4: Simplify right side
    197,672.70x = 14,206,891,629.68
  5. Step 5: Solve for x
    x = 14,206,891,629.68/197,672.70
  6. Step 6: Final answer
    x = 71,870.78

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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.