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Finding the Fourth Proportional to 197,321.80, 295,982.70 and 182,115.40

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Solution

The fourth proportional to 197,321.80, 295,982.70 and 182,115.40 is: 273,173.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,321.80 : 295,982.70 = 182,115.40 : x
  2. Step 2: Convert to fraction form
    197,321.80/295,982.70 = 182,115.40/x
  3. Step 3: Cross multiply
    197,321.80x = 295,982.70 × 182,115.40
  4. Step 4: Simplify right side
    197,321.80x = 53,903,007,803.58
  5. Step 5: Solve for x
    x = 53,903,007,803.58/197,321.80
  6. Step 6: Final answer
    x = 273,173.10

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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.