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Finding the Fourth Proportional to 225,818.46, 311,633.76 and 123,837.46

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Solution

The fourth proportional to 225,818.46, 311,633.76 and 123,837.46 is: 170,898.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,818.46 : 311,633.76 = 123,837.46 : x
  2. Step 2: Convert to fraction form
    225,818.46/311,633.76 = 123,837.46/x
  3. Step 3: Cross multiply
    225,818.46x = 311,633.76 × 123,837.46
  4. Step 4: Simplify right side
    225,818.46x = 38,591,933,288.65
  5. Step 5: Solve for x
    x = 38,591,933,288.65/225,818.46
  6. Step 6: Final answer
    x = 170,898.04

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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.