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Finding the Fourth Proportional to 271,995.57, 407,577.69 and 114,137.91

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Solution

The fourth proportional to 271,995.57, 407,577.69 and 114,137.91 is: 171,032.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,995.57 : 407,577.69 = 114,137.91 : x
  2. Step 2: Convert to fraction form
    271,995.57/407,577.69 = 114,137.91/x
  3. Step 3: Cross multiply
    271,995.57x = 407,577.69 × 114,137.91
  4. Step 4: Simplify right side
    271,995.57x = 46,520,065,699.23
  5. Step 5: Solve for x
    x = 46,520,065,699.23/271,995.57
  6. Step 6: Final answer
    x = 171,032.44

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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.