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Finding the Fourth Proportional to 263,505.84, 363,635.91 and 142,644.66

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Solution

The fourth proportional to 263,505.84, 363,635.91 and 142,644.66 is: 196,848.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,505.84 : 363,635.91 = 142,644.66 : x
  2. Step 2: Convert to fraction form
    263,505.84/363,635.91 = 142,644.66/x
  3. Step 3: Cross multiply
    263,505.84x = 363,635.91 × 142,644.66
  4. Step 4: Simplify right side
    263,505.84x = 51,870,720,745.74
  5. Step 5: Solve for x
    x = 51,870,720,745.74/263,505.84
  6. Step 6: Final answer
    x = 196,848.47

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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.