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Finding the Fourth Proportional to 197,194.20, 295,912.80 and 78,853.20

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Solution

The fourth proportional to 197,194.20, 295,912.80 and 78,853.20 is: 118,328.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,194.20 : 295,912.80 = 78,853.20 : x
  2. Step 2: Convert to fraction form
    197,194.20/295,912.80 = 78,853.20/x
  3. Step 3: Cross multiply
    197,194.20x = 295,912.80 × 78,853.20
  4. Step 4: Simplify right side
    197,194.20x = 23,333,671,200.96
  5. Step 5: Solve for x
    x = 23,333,671,200.96/197,194.20
  6. Step 6: Final answer
    x = 118,328.38

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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.