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Finding the Fourth Proportional to 271,976.50, 408,008.46 and 114,250.06

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Solution

The fourth proportional to 271,976.50, 408,008.46 and 114,250.06 is: 171,393.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,976.50 : 408,008.46 = 114,250.06 : x
  2. Step 2: Convert to fraction form
    271,976.50/408,008.46 = 114,250.06/x
  3. Step 3: Cross multiply
    271,976.50x = 408,008.46 × 114,250.06
  4. Step 4: Simplify right side
    271,976.50x = 46,614,991,035.51
  5. Step 5: Solve for x
    x = 46,614,991,035.51/271,976.50
  6. Step 6: Final answer
    x = 171,393.45

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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.