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Finding the Fourth Proportional to 271,759.68, 407,613.60 and 166,524.48

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Solution

The fourth proportional to 271,759.68, 407,613.60 and 166,524.48 is: 249,770.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,759.68 : 407,613.60 = 166,524.48 : x
  2. Step 2: Convert to fraction form
    271,759.68/407,613.60 = 166,524.48/x
  3. Step 3: Cross multiply
    271,759.68x = 407,613.60 × 166,524.48
  4. Step 4: Simplify right side
    271,759.68x = 67,877,642,780.93
  5. Step 5: Solve for x
    x = 67,877,642,780.93/271,759.68
  6. Step 6: Final answer
    x = 249,770.84

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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.