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Finding the Fourth Proportional to 225,505.94, 311,120.92 and 128,640.20

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Solution

The fourth proportional to 225,505.94, 311,120.92 and 128,640.20 is: 177,479.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,505.94 : 311,120.92 = 128,640.20 : x
  2. Step 2: Convert to fraction form
    225,505.94/311,120.92 = 128,640.20/x
  3. Step 3: Cross multiply
    225,505.94x = 311,120.92 × 128,640.20
  4. Step 4: Simplify right side
    225,505.94x = 40,022,657,372.98
  5. Step 5: Solve for x
    x = 40,022,657,372.98/225,505.94
  6. Step 6: Final answer
    x = 177,479.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.