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Finding the Fourth Proportional to 260,696.26, 359,698.80 and 158,720.55

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Solution

The fourth proportional to 260,696.26, 359,698.80 and 158,720.55 is: 218,996.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,696.26 : 359,698.80 = 158,720.55 : x
  2. Step 2: Convert to fraction form
    260,696.26/359,698.80 = 158,720.55/x
  3. Step 3: Cross multiply
    260,696.26x = 359,698.80 × 158,720.55
  4. Step 4: Simplify right side
    260,696.26x = 57,091,589,571.85
  5. Step 5: Solve for x
    x = 57,091,589,571.85/260,696.26
  6. Step 6: Final answer
    x = 218,996.59

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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.