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Finding the Fourth Proportional to 258,135.36, 356,229 and 144,968.64

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Solution

The fourth proportional to 258,135.36, 356,229 and 144,968.64 is: 200,057.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,135.36 : 356,229 = 144,968.64 : x
  2. Step 2: Convert to fraction form
    258,135.36/356,229 = 144,968.64/x
  3. Step 3: Cross multiply
    258,135.36x = 356,229 × 144,968.64
  4. Step 4: Simplify right side
    258,135.36x = 51,642,033,658.56
  5. Step 5: Solve for x
    x = 51,642,033,658.56/258,135.36
  6. Step 6: Final answer
    x = 200,057.96

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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.