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Finding the Fourth Proportional to 321,821.56, 482,735.98 and 97,183.86

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Solution

The fourth proportional to 321,821.56, 482,735.98 and 97,183.86 is: 145,776.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,821.56 : 482,735.98 = 97,183.86 : x
  2. Step 2: Convert to fraction form
    321,821.56/482,735.98 = 97,183.86/x
  3. Step 3: Cross multiply
    321,821.56x = 482,735.98 × 97,183.86
  4. Step 4: Simplify right side
    321,821.56x = 46,914,145,897.28
  5. Step 5: Solve for x
    x = 46,914,145,897.28/321,821.56
  6. Step 6: Final answer
    x = 145,776.89

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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.