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Finding the Fourth Proportional to 271,830.40, 407,745.60 and 147,414.40

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Solution

The fourth proportional to 271,830.40, 407,745.60 and 147,414.40 is: 221,121.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,830.40 : 407,745.60 = 147,414.40 : x
  2. Step 2: Convert to fraction form
    271,830.40/407,745.60 = 147,414.40/x
  3. Step 3: Cross multiply
    271,830.40x = 407,745.60 × 147,414.40
  4. Step 4: Simplify right side
    271,830.40x = 60,107,572,976.64
  5. Step 5: Solve for x
    x = 60,107,572,976.64/271,830.40
  6. Step 6: Final answer
    x = 221,121.60

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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.