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Finding the Fourth Proportional to 260,853.82, 359,976.39 and 147,675.58

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Solution

The fourth proportional to 260,853.82, 359,976.39 and 147,675.58 is: 203,791.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,853.82 : 359,976.39 = 147,675.58 : x
  2. Step 2: Convert to fraction form
    260,853.82/359,976.39 = 147,675.58/x
  3. Step 3: Cross multiply
    260,853.82x = 359,976.39 × 147,675.58
  4. Step 4: Simplify right side
    260,853.82x = 53,159,722,179.56
  5. Step 5: Solve for x
    x = 53,159,722,179.56/260,853.82
  6. Step 6: Final answer
    x = 203,791.24

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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.