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Finding the Fourth Proportional to 271,807.60, 407,905.80 and 114,149.20

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Solution

The fourth proportional to 271,807.60, 407,905.80 and 114,149.20 is: 171,305.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,807.60 : 407,905.80 = 114,149.20 : x
  2. Step 2: Convert to fraction form
    271,807.60/407,905.80 = 114,149.20/x
  3. Step 3: Cross multiply
    271,807.60x = 407,905.80 × 114,149.20
  4. Step 4: Simplify right side
    271,807.60x = 46,562,120,745.36
  5. Step 5: Solve for x
    x = 46,562,120,745.36/271,807.60
  6. Step 6: Final answer
    x = 171,305.44

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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.