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Finding the Fourth Proportional to 203,480.90, 305,367.15 and 114,640.10

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Solution

The fourth proportional to 203,480.90, 305,367.15 and 114,640.10 is: 172,042.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,480.90 : 305,367.15 = 114,640.10 : x
  2. Step 2: Convert to fraction form
    203,480.90/305,367.15 = 114,640.10/x
  3. Step 3: Cross multiply
    203,480.90x = 305,367.15 × 114,640.10
  4. Step 4: Simplify right side
    203,480.90x = 35,007,320,612.72
  5. Step 5: Solve for x
    x = 35,007,320,612.72/203,480.90
  6. Step 6: Final answer
    x = 172,042.29

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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.