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Finding the Fourth Proportional to 130,769.50, 196,183.42 and 47,663.50

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Solution

The fourth proportional to 130,769.50, 196,183.42 and 47,663.50 is: 71,505.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,769.50 : 196,183.42 = 47,663.50 : x
  2. Step 2: Convert to fraction form
    130,769.50/196,183.42 = 47,663.50/x
  3. Step 3: Cross multiply
    130,769.50x = 196,183.42 × 47,663.50
  4. Step 4: Simplify right side
    130,769.50x = 9,350,788,439.17
  5. Step 5: Solve for x
    x = 9,350,788,439.17/130,769.50
  6. Step 6: Final answer
    x = 71,505.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.