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Finding the Fourth Proportional to 263,607.22, 363,778.31 and 142,748.70

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Solution

The fourth proportional to 263,607.22, 363,778.31 and 142,748.70 is: 196,993.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,607.22 : 363,778.31 = 142,748.70 : x
  2. Step 2: Convert to fraction form
    263,607.22/363,778.31 = 142,748.70/x
  3. Step 3: Cross multiply
    263,607.22x = 363,778.31 × 142,748.70
  4. Step 4: Simplify right side
    263,607.22x = 51,928,880,840.70
  5. Step 5: Solve for x
    x = 51,928,880,840.70/263,607.22
  6. Step 6: Final answer
    x = 196,993.39

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Why These Related Problems?

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