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Finding the Fourth Proportional to 225,806, 338,709.16 and 57,338.96

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Solution

The fourth proportional to 225,806, 338,709.16 and 57,338.96 is: 86,008.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,806 : 338,709.16 = 57,338.96 : x
  2. Step 2: Convert to fraction form
    225,806/338,709.16 = 57,338.96/x
  3. Step 3: Cross multiply
    225,806x = 338,709.16 × 57,338.96
  4. Step 4: Simplify right side
    225,806x = 19,421,230,976.87
  5. Step 5: Solve for x
    x = 19,421,230,976.87/225,806
  6. Step 6: Final answer
    x = 86,008.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.