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Finding the Fourth Proportional to 225,568.36, 311,297.38 and 123,594

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Solution

The fourth proportional to 225,568.36, 311,297.38 and 123,594 is: 170,566.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,568.36 : 311,297.38 = 123,594 : x
  2. Step 2: Convert to fraction form
    225,568.36/311,297.38 = 123,594/x
  3. Step 3: Cross multiply
    225,568.36x = 311,297.38 × 123,594
  4. Step 4: Simplify right side
    225,568.36x = 38,474,488,383.72
  5. Step 5: Solve for x
    x = 38,474,488,383.72/225,568.36
  6. Step 6: Final answer
    x = 170,566.87

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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.