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Finding the Fourth Proportional to 263,206.98, 363,224.59 and 142,348.41

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Solution

The fourth proportional to 263,206.98, 363,224.59 and 142,348.41 is: 196,440.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,206.98 : 363,224.59 = 142,348.41 : x
  2. Step 2: Convert to fraction form
    263,206.98/363,224.59 = 142,348.41/x
  3. Step 3: Cross multiply
    263,206.98x = 363,224.59 × 142,348.41
  4. Step 4: Simplify right side
    263,206.98x = 51,704,442,503.53
  5. Step 5: Solve for x
    x = 51,704,442,503.53/263,206.98
  6. Step 6: Final answer
    x = 196,440.24

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