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Finding the Fourth Proportional to 321,819.56, 482,732.98 and 97,181.86

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Solution

The fourth proportional to 321,819.56, 482,732.98 and 97,181.86 is: 145,773.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,819.56 : 482,732.98 = 97,181.86 : x
  2. Step 2: Convert to fraction form
    321,819.56/482,732.98 = 97,181.86/x
  3. Step 3: Cross multiply
    321,819.56x = 482,732.98 × 97,181.86
  4. Step 4: Simplify right side
    321,819.56x = 46,912,888,879.74
  5. Step 5: Solve for x
    x = 46,912,888,879.74/321,819.56
  6. Step 6: Final answer
    x = 145,773.89

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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.