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Finding the Fourth Proportional to 263,308.40, 394,703.40 and 130,209.20

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Solution

The fourth proportional to 263,308.40, 394,703.40 and 130,209.20 is: 195,185.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,308.40 : 394,703.40 = 130,209.20 : x
  2. Step 2: Convert to fraction form
    263,308.40/394,703.40 = 130,209.20/x
  3. Step 3: Cross multiply
    263,308.40x = 394,703.40 × 130,209.20
  4. Step 4: Simplify right side
    263,308.40x = 51,394,013,951.28
  5. Step 5: Solve for x
    x = 51,394,013,951.28/263,308.40
  6. Step 6: Final answer
    x = 195,185.62

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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.