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Finding the Fourth Proportional to 269,394.84, 371,767.41 and 148,540.47

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Solution

The fourth proportional to 269,394.84, 371,767.41 and 148,540.47 is: 204,987.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,394.84 : 371,767.41 = 148,540.47 : x
  2. Step 2: Convert to fraction form
    269,394.84/371,767.41 = 148,540.47/x
  3. Step 3: Cross multiply
    269,394.84x = 371,767.41 × 148,540.47
  4. Step 4: Simplify right side
    269,394.84x = 55,222,505,812.08
  5. Step 5: Solve for x
    x = 55,222,505,812.08/269,394.84
  6. Step 6: Final answer
    x = 204,987.24

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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.