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Finding the Fourth Proportional to 271,885.75, 407,915.30 and 114,071.83

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Solution

The fourth proportional to 271,885.75, 407,915.30 and 114,071.83 is: 171,144.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,885.75 : 407,915.30 = 114,071.83 : x
  2. Step 2: Convert to fraction form
    271,885.75/407,915.30 = 114,071.83/x
  3. Step 3: Cross multiply
    271,885.75x = 407,915.30 × 114,071.83
  4. Step 4: Simplify right side
    271,885.75x = 46,531,644,756.00
  5. Step 5: Solve for x
    x = 46,531,644,756.00/271,885.75
  6. Step 6: Final answer
    x = 171,144.11

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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.