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Finding the Fourth Proportional to 263,022.40, 394,274.40 and 129,923.20

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Solution

The fourth proportional to 263,022.40, 394,274.40 and 129,923.20 is: 194,756.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,022.40 : 394,274.40 = 129,923.20 : x
  2. Step 2: Convert to fraction form
    263,022.40/394,274.40 = 129,923.20/x
  3. Step 3: Cross multiply
    263,022.40x = 394,274.40 × 129,923.20
  4. Step 4: Simplify right side
    263,022.40x = 51,225,391,726.08
  5. Step 5: Solve for x
    x = 51,225,391,726.08/263,022.40
  6. Step 6: Final answer
    x = 194,756.76

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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.