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Finding the Fourth Proportional to 218,392.46, 327,421.93 and 68,546.05

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Solution

The fourth proportional to 218,392.46, 327,421.93 and 68,546.05 is: 102,766.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,392.46 : 327,421.93 = 68,546.05 : x
  2. Step 2: Convert to fraction form
    218,392.46/327,421.93 = 68,546.05/x
  3. Step 3: Cross multiply
    218,392.46x = 327,421.93 × 68,546.05
  4. Step 4: Simplify right side
    218,392.46x = 22,443,480,215.61
  5. Step 5: Solve for x
    x = 22,443,480,215.61/218,392.46
  6. Step 6: Final answer
    x = 102,766.74

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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.