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Finding the Fourth Proportional to 265,865.06, 397,860.80 and 166,072.26

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Solution

The fourth proportional to 265,865.06, 397,860.80 and 166,072.26 is: 248,523.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,865.06 : 397,860.80 = 166,072.26 : x
  2. Step 2: Convert to fraction form
    265,865.06/397,860.80 = 166,072.26/x
  3. Step 3: Cross multiply
    265,865.06x = 397,860.80 × 166,072.26
  4. Step 4: Simplify right side
    265,865.06x = 66,073,642,221.41
  5. Step 5: Solve for x
    x = 66,073,642,221.41/265,865.06
  6. Step 6: Final answer
    x = 248,523.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.