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Finding the Fourth Proportional to 271,634.88, 407,181.06 and 136,285.44

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Solution

The fourth proportional to 271,634.88, 407,181.06 and 136,285.44 is: 204,292.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,634.88 : 407,181.06 = 136,285.44 : x
  2. Step 2: Convert to fraction form
    271,634.88/407,181.06 = 136,285.44/x
  3. Step 3: Cross multiply
    271,634.88x = 407,181.06 × 136,285.44
  4. Step 4: Simplify right side
    271,634.88x = 55,492,849,921.77
  5. Step 5: Solve for x
    x = 55,492,849,921.77/271,634.88
  6. Step 6: Final answer
    x = 204,292.06

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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.