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Finding the Fourth Proportional to 271,274, 406,933.14 and 136,268.63

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Solution

The fourth proportional to 271,274, 406,933.14 and 136,268.63 is: 204,414.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,274 : 406,933.14 = 136,268.63 : x
  2. Step 2: Convert to fraction form
    271,274/406,933.14 = 136,268.63/x
  3. Step 3: Cross multiply
    271,274x = 406,933.14 × 136,268.63
  4. Step 4: Simplify right side
    271,274x = 55,452,221,489.40
  5. Step 5: Solve for x
    x = 55,452,221,489.40/271,274
  6. Step 6: Final answer
    x = 204,414.07

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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.