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Finding the Fourth Proportional to 218,543.80, 327,874.02 and 78,316.60

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Solution

The fourth proportional to 218,543.80, 327,874.02 and 78,316.60 is: 117,495.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,543.80 : 327,874.02 = 78,316.60 : x
  2. Step 2: Convert to fraction form
    218,543.80/327,874.02 = 78,316.60/x
  3. Step 3: Cross multiply
    218,543.80x = 327,874.02 × 78,316.60
  4. Step 4: Simplify right side
    218,543.80x = 25,677,978,474.73
  5. Step 5: Solve for x
    x = 25,677,978,474.73/218,543.80
  6. Step 6: Final answer
    x = 117,495.80

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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.