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Finding the Fourth Proportional to 225,734.44, 311,511.81 and 123,758.68

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Solution

The fourth proportional to 225,734.44, 311,511.81 and 123,758.68 is: 170,786.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,734.44 : 311,511.81 = 123,758.68 : x
  2. Step 2: Convert to fraction form
    225,734.44/311,511.81 = 123,758.68/x
  3. Step 3: Cross multiply
    225,734.44x = 311,511.81 × 123,758.68
  4. Step 4: Simplify right side
    225,734.44x = 38,552,290,410.01
  5. Step 5: Solve for x
    x = 38,552,290,410.01/225,734.44
  6. Step 6: Final answer
    x = 170,786.04

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1.5x scale

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.