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Finding the Fourth Proportional to 225,956.91, 311,536.83 and 165,422.46

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Solution

The fourth proportional to 225,956.91, 311,536.83 and 165,422.46 is: 228,075.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,956.91 : 311,536.83 = 165,422.46 : x
  2. Step 2: Convert to fraction form
    225,956.91/311,536.83 = 165,422.46/x
  3. Step 3: Cross multiply
    225,956.91x = 311,536.83 × 165,422.46
  4. Step 4: Simplify right side
    225,956.91x = 51,535,188,799.20
  5. Step 5: Solve for x
    x = 51,535,188,799.20/225,956.91
  6. Step 6: Final answer
    x = 228,075.29

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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.