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Finding the Fourth Proportional to 263,214.39, 363,235.86 and 142,355.68

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Solution

The fourth proportional to 263,214.39, 363,235.86 and 142,355.68 is: 196,450.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,214.39 : 363,235.86 = 142,355.68 : x
  2. Step 2: Convert to fraction form
    263,214.39/363,235.86 = 142,355.68/x
  3. Step 3: Cross multiply
    263,214.39x = 363,235.86 × 142,355.68
  4. Step 4: Simplify right side
    263,214.39x = 51,708,686,942.60
  5. Step 5: Solve for x
    x = 51,708,686,942.60/263,214.39
  6. Step 6: Final answer
    x = 196,450.84

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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.