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Finding the Fourth Proportional to 269,596.52, 371,976.75 and 164,794.01

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Solution

The fourth proportional to 269,596.52, 371,976.75 and 164,794.01 is: 227,375.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,596.52 : 371,976.75 = 164,794.01 : x
  2. Step 2: Convert to fraction form
    269,596.52/371,976.75 = 164,794.01/x
  3. Step 3: Cross multiply
    269,596.52x = 371,976.75 × 164,794.01
  4. Step 4: Simplify right side
    269,596.52x = 61,299,538,399.38
  5. Step 5: Solve for x
    x = 61,299,538,399.38/269,596.52
  6. Step 6: Final answer
    x = 227,375.11

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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.