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Finding the Fourth Proportional to 260,942.31, 360,100.44 and 158,967.77

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Solution

The fourth proportional to 260,942.31, 360,100.44 and 158,967.77 is: 219,375.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,942.31 : 360,100.44 = 158,967.77 : x
  2. Step 2: Convert to fraction form
    260,942.31/360,100.44 = 158,967.77/x
  3. Step 3: Cross multiply
    260,942.31x = 360,100.44 × 158,967.77
  4. Step 4: Simplify right side
    260,942.31x = 57,244,362,122.32
  5. Step 5: Solve for x
    x = 57,244,362,122.32/260,942.31
  6. Step 6: Final answer
    x = 219,375.55

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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.