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Finding the Fourth Proportional to 271,884.24, 407,899.62 and 114,070.32

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Solution

The fourth proportional to 271,884.24, 407,899.62 and 114,070.32 is: 171,136.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,884.24 : 407,899.62 = 114,070.32 : x
  2. Step 2: Convert to fraction form
    271,884.24/407,899.62 = 114,070.32/x
  3. Step 3: Cross multiply
    271,884.24x = 407,899.62 × 114,070.32
  4. Step 4: Simplify right side
    271,884.24x = 46,529,240,181.28
  5. Step 5: Solve for x
    x = 46,529,240,181.28/271,884.24
  6. Step 6: Final answer
    x = 171,136.22

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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.