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Finding the Fourth Proportional to 225,813.46, 311,626.85 and 123,832.46

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Solution

The fourth proportional to 225,813.46, 311,626.85 and 123,832.46 is: 170,891.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,813.46 : 311,626.85 = 123,832.46 : x
  2. Step 2: Convert to fraction form
    225,813.46/311,626.85 = 123,832.46/x
  3. Step 3: Cross multiply
    225,813.46x = 311,626.85 × 123,832.46
  4. Step 4: Simplify right side
    225,813.46x = 38,589,519,437.55
  5. Step 5: Solve for x
    x = 38,589,519,437.55/225,813.46
  6. Step 6: Final answer
    x = 170,891.14

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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.