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Finding the Fourth Proportional to 203,727.36, 305,590.24 and 114,940.48

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Solution

The fourth proportional to 203,727.36, 305,590.24 and 114,940.48 is: 172,410.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,727.36 : 305,590.24 = 114,940.48 : x
  2. Step 2: Convert to fraction form
    203,727.36/305,590.24 = 114,940.48/x
  3. Step 3: Cross multiply
    203,727.36x = 305,590.24 × 114,940.48
  4. Step 4: Simplify right side
    203,727.36x = 35,124,688,868.92
  5. Step 5: Solve for x
    x = 35,124,688,868.92/203,727.36
  6. Step 6: Final answer
    x = 172,410.27

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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.