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Finding the Fourth Proportional to 271,830.60, 407,745.90 and 84,817.80

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Solution

The fourth proportional to 271,830.60, 407,745.90 and 84,817.80 is: 127,226.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,830.60 : 407,745.90 = 84,817.80 : x
  2. Step 2: Convert to fraction form
    271,830.60/407,745.90 = 84,817.80/x
  3. Step 3: Cross multiply
    271,830.60x = 407,745.90 × 84,817.80
  4. Step 4: Simplify right side
    271,830.60x = 34,584,110,197.02
  5. Step 5: Solve for x
    x = 34,584,110,197.02/271,830.60
  6. Step 6: Final answer
    x = 127,226.70

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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.