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Finding the Fourth Proportional to 263,292.39, 363,342.70 and 142,433.64

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Solution

The fourth proportional to 263,292.39, 363,342.70 and 142,433.64 is: 196,557.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,292.39 : 363,342.70 = 142,433.64 : x
  2. Step 2: Convert to fraction form
    263,292.39/363,342.70 = 142,433.64/x
  3. Step 3: Cross multiply
    263,292.39x = 363,342.70 × 142,433.64
  4. Step 4: Simplify right side
    263,292.39x = 51,752,222,558.14
  5. Step 5: Solve for x
    x = 51,752,222,558.14/263,292.39
  6. Step 6: Final answer
    x = 196,557.99

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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.