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Finding the Fourth Proportional to 263,313.90, 394,711.65 and 130,214.70

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Solution

The fourth proportional to 263,313.90, 394,711.65 and 130,214.70 is: 195,193.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,313.90 : 394,711.65 = 130,214.70 : x
  2. Step 2: Convert to fraction form
    263,313.90/394,711.65 = 130,214.70/x
  3. Step 3: Cross multiply
    263,313.90x = 394,711.65 × 130,214.70
  4. Step 4: Simplify right side
    263,313.90x = 51,397,259,091.26
  5. Step 5: Solve for x
    x = 51,397,259,091.26/263,313.90
  6. Step 6: Final answer
    x = 195,193.87

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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.