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Finding the Fourth Proportional to 205,351.68, 308,125.44 and 111,855.36

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Solution

The fourth proportional to 205,351.68, 308,125.44 and 111,855.36 is: 167,836.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,351.68 : 308,125.44 = 111,855.36 : x
  2. Step 2: Convert to fraction form
    205,351.68/308,125.44 = 111,855.36/x
  3. Step 3: Cross multiply
    205,351.68x = 308,125.44 × 111,855.36
  4. Step 4: Simplify right side
    205,351.68x = 34,465,482,016.36
  5. Step 5: Solve for x
    x = 34,465,482,016.36/205,351.68
  6. Step 6: Final answer
    x = 167,836.38

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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.