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Finding the Fourth Proportional to 260,765.82, 359,844.39 and 160,144.38

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Solution

The fourth proportional to 260,765.82, 359,844.39 and 160,144.38 is: 220,991.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,765.82 : 359,844.39 = 160,144.38 : x
  2. Step 2: Convert to fraction form
    260,765.82/359,844.39 = 160,144.38/x
  3. Step 3: Cross multiply
    260,765.82x = 359,844.39 × 160,144.38
  4. Step 4: Simplify right side
    260,765.82x = 57,627,056,733.03
  5. Step 5: Solve for x
    x = 57,627,056,733.03/260,765.82
  6. Step 6: Final answer
    x = 220,991.60

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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.