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Finding the Fourth Proportional to 258,093.36, 356,225.77 and 143,411.41

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Solution

The fourth proportional to 258,093.36, 356,225.77 and 143,411.41 is: 197,939.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,093.36 : 356,225.77 = 143,411.41 : x
  2. Step 2: Convert to fraction form
    258,093.36/356,225.77 = 143,411.41/x
  3. Step 3: Cross multiply
    258,093.36x = 356,225.77 × 143,411.41
  4. Step 4: Simplify right side
    258,093.36x = 51,086,839,771.89
  5. Step 5: Solve for x
    x = 51,086,839,771.89/258,093.36
  6. Step 6: Final answer
    x = 197,939.38

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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.