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Finding the Fourth Proportional to 260,843.49, 391,211.62 and 164,751.42

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Solution

The fourth proportional to 260,843.49, 391,211.62 and 164,751.42 is: 247,093.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,843.49 : 391,211.62 = 164,751.42 : x
  2. Step 2: Convert to fraction form
    260,843.49/391,211.62 = 164,751.42/x
  3. Step 3: Cross multiply
    260,843.49x = 391,211.62 × 164,751.42
  4. Step 4: Simplify right side
    260,843.49x = 64,452,669,696.83
  5. Step 5: Solve for x
    x = 64,452,669,696.83/260,843.49
  6. Step 6: Final answer
    x = 247,093.27

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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.