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Finding the Fourth Proportional to 263,220.49, 363,244.27 and 142,361.78

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Solution

The fourth proportional to 263,220.49, 363,244.27 and 142,361.78 is: 196,459.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,220.49 : 363,244.27 = 142,361.78 : x
  2. Step 2: Convert to fraction form
    263,220.49/363,244.27 = 142,361.78/x
  3. Step 3: Cross multiply
    263,220.49x = 363,244.27 × 142,361.78
  4. Step 4: Simplify right side
    263,220.49x = 51,712,098,323.97
  5. Step 5: Solve for x
    x = 51,712,098,323.97/263,220.49
  6. Step 6: Final answer
    x = 196,459.25

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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.