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Finding the Fourth Proportional to 263,409.21, 363,505.36 and 142,551.38

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Solution

The fourth proportional to 263,409.21, 363,505.36 and 142,551.38 is: 196,721.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,409.21 : 363,505.36 = 142,551.38 : x
  2. Step 2: Convert to fraction form
    263,409.21/363,505.36 = 142,551.38/x
  3. Step 3: Cross multiply
    263,409.21x = 363,505.36 × 142,551.38
  4. Step 4: Simplify right side
    263,409.21x = 51,818,188,531.49
  5. Step 5: Solve for x
    x = 51,818,188,531.49/263,409.21
  6. Step 6: Final answer
    x = 196,721.25

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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.