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Finding the Fourth Proportional to 191,021.56, 263,604.54 and 106,136.44

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Solution

The fourth proportional to 191,021.56, 263,604.54 and 106,136.44 is: 146,465.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,021.56 : 263,604.54 = 106,136.44 : x
  2. Step 2: Convert to fraction form
    191,021.56/263,604.54 = 106,136.44/x
  3. Step 3: Cross multiply
    191,021.56x = 263,604.54 × 106,136.44
  4. Step 4: Simplify right side
    191,021.56x = 27,978,047,443.44
  5. Step 5: Solve for x
    x = 27,978,047,443.44/191,021.56
  6. Step 6: Final answer
    x = 146,465.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.