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Finding the Fourth Proportional to 214,618.35, 321,929.34 and 81,462.84

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Solution

The fourth proportional to 214,618.35, 321,929.34 and 81,462.84 is: 122,194.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,618.35 : 321,929.34 = 81,462.84 : x
  2. Step 2: Convert to fraction form
    214,618.35/321,929.34 = 81,462.84/x
  3. Step 3: Cross multiply
    214,618.35x = 321,929.34 × 81,462.84
  4. Step 4: Simplify right side
    214,618.35x = 26,225,278,315.73
  5. Step 5: Solve for x
    x = 26,225,278,315.73/214,618.35
  6. Step 6: Final answer
    x = 122,194.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.