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Finding the Fourth Proportional to 263,593.35, 363,759.02 and 142,735.59

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Solution

The fourth proportional to 263,593.35, 363,759.02 and 142,735.59 is: 196,975.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,593.35 : 363,759.02 = 142,735.59 : x
  2. Step 2: Convert to fraction form
    263,593.35/363,759.02 = 142,735.59/x
  3. Step 3: Cross multiply
    263,593.35x = 363,759.02 × 142,735.59
  4. Step 4: Simplify right side
    263,593.35x = 51,921,357,623.84
  5. Step 5: Solve for x
    x = 51,921,357,623.84/263,593.35
  6. Step 6: Final answer
    x = 196,975.22

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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.