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Finding the Fourth Proportional to 259,872.80, 389,348.40 and 161,261.60

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Solution

The fourth proportional to 259,872.80, 389,348.40 and 161,261.60 is: 241,606.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,872.80 : 389,348.40 = 161,261.60 : x
  2. Step 2: Convert to fraction form
    259,872.80/389,348.40 = 161,261.60/x
  3. Step 3: Cross multiply
    259,872.80x = 389,348.40 × 161,261.60
  4. Step 4: Simplify right side
    259,872.80x = 62,786,945,941.44
  5. Step 5: Solve for x
    x = 62,786,945,941.44/259,872.80
  6. Step 6: Final answer
    x = 241,606.45

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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.