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Finding the Fourth Proportional to 223,757.81, 335,193.79 and 195,709.54

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Solution

The fourth proportional to 223,757.81, 335,193.79 and 195,709.54 is: 293,176.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,757.81 : 335,193.79 = 195,709.54 : x
  2. Step 2: Convert to fraction form
    223,757.81/335,193.79 = 195,709.54/x
  3. Step 3: Cross multiply
    223,757.81x = 335,193.79 × 195,709.54
  4. Step 4: Simplify right side
    223,757.81x = 65,600,622,451.76
  5. Step 5: Solve for x
    x = 65,600,622,451.76/223,757.81
  6. Step 6: Final answer
    x = 293,176.91

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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.