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Finding the Fourth Proportional to 197,134.20, 295,822.80 and 78,793.20

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Solution

The fourth proportional to 197,134.20, 295,822.80 and 78,793.20 is: 118,238.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,134.20 : 295,822.80 = 78,793.20 : x
  2. Step 2: Convert to fraction form
    197,134.20/295,822.80 = 78,793.20/x
  3. Step 3: Cross multiply
    197,134.20x = 295,822.80 × 78,793.20
  4. Step 4: Simplify right side
    197,134.20x = 23,308,825,044.96
  5. Step 5: Solve for x
    x = 23,308,825,044.96/197,134.20
  6. Step 6: Final answer
    x = 118,238.36

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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.