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Finding the Fourth Proportional to 130,847, 196,273.74 and 47,741

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Solution

The fourth proportional to 130,847, 196,273.74 and 47,741 is: 71,612.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,847 : 196,273.74 = 47,741 : x
  2. Step 2: Convert to fraction form
    130,847/196,273.74 = 47,741/x
  3. Step 3: Cross multiply
    130,847x = 196,273.74 × 47,741
  4. Step 4: Simplify right side
    130,847x = 9,370,304,621.34
  5. Step 5: Solve for x
    x = 9,370,304,621.34/130,847
  6. Step 6: Final answer
    x = 71,612.68

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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.