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Finding the Fourth Proportional to 269,193, 371,494.02 and 149,968.68

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Solution

The fourth proportional to 269,193, 371,494.02 and 149,968.68 is: 206,961.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,193 : 371,494.02 = 149,968.68 : x
  2. Step 2: Convert to fraction form
    269,193/371,494.02 = 149,968.68/x
  3. Step 3: Cross multiply
    269,193x = 371,494.02 × 149,968.68
  4. Step 4: Simplify right side
    269,193x = 55,712,467,807.29
  5. Step 5: Solve for x
    x = 55,712,467,807.29/269,193
  6. Step 6: Final answer
    x = 206,961.06

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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.