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Finding the Fourth Proportional to 130,769.76, 196,183.80 and 47,663.76

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Solution

The fourth proportional to 130,769.76, 196,183.80 and 47,663.76 is: 71,506.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,769.76 : 196,183.80 = 47,663.76 : x
  2. Step 2: Convert to fraction form
    130,769.76/196,183.80 = 47,663.76/x
  3. Step 3: Cross multiply
    130,769.76x = 196,183.80 × 47,663.76
  4. Step 4: Simplify right side
    130,769.76x = 9,350,857,559.09
  5. Step 5: Solve for x
    x = 9,350,857,559.09/130,769.76
  6. Step 6: Final answer
    x = 71,506.27

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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.