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Finding the Fourth Proportional to 321,727.14, 482,596.38 and 111,371.76

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Solution

The fourth proportional to 321,727.14, 482,596.38 and 111,371.76 is: 167,059.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,727.14 : 482,596.38 = 111,371.76 : x
  2. Step 2: Convert to fraction form
    321,727.14/482,596.38 = 111,371.76/x
  3. Step 3: Cross multiply
    321,727.14x = 482,596.38 × 111,371.76
  4. Step 4: Simplify right side
    321,727.14x = 53,747,608,210.23
  5. Step 5: Solve for x
    x = 53,747,608,210.23/321,727.14
  6. Step 6: Final answer
    x = 167,059.60

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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.