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Finding the Fourth Proportional to 225,701.69, 338,596.82 and 83,548.21

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Solution

The fourth proportional to 225,701.69, 338,596.82 and 83,548.21 is: 125,338.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,701.69 : 338,596.82 = 83,548.21 : x
  2. Step 2: Convert to fraction form
    225,701.69/338,596.82 = 83,548.21/x
  3. Step 3: Cross multiply
    225,701.69x = 338,596.82 × 83,548.21
  4. Step 4: Simplify right side
    225,701.69x = 28,289,158,222.69
  5. Step 5: Solve for x
    x = 28,289,158,222.69/225,701.69
  6. Step 6: Final answer
    x = 125,338.71

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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.