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Finding the Fourth Proportional to 271,894.80, 407,899.80 and 82,339.60

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Solution

The fourth proportional to 271,894.80, 407,899.80 and 82,339.60 is: 123,526.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,894.80 : 407,899.80 = 82,339.60 : x
  2. Step 2: Convert to fraction form
    271,894.80/407,899.80 = 82,339.60/x
  3. Step 3: Cross multiply
    271,894.80x = 407,899.80 × 82,339.60
  4. Step 4: Simplify right side
    271,894.80x = 33,586,306,372.08
  5. Step 5: Solve for x
    x = 33,586,306,372.08/271,894.80
  6. Step 6: Final answer
    x = 123,526.84

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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.