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Finding the Fourth Proportional to 196,995.80, 295,056.30 and 162,003.80

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Solution

The fourth proportional to 196,995.80, 295,056.30 and 162,003.80 is: 242,645.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,995.80 : 295,056.30 = 162,003.80 : x
  2. Step 2: Convert to fraction form
    196,995.80/295,056.30 = 162,003.80/x
  3. Step 3: Cross multiply
    196,995.80x = 295,056.30 × 162,003.80
  4. Step 4: Simplify right side
    196,995.80x = 47,800,241,813.94
  5. Step 5: Solve for x
    x = 47,800,241,813.94/196,995.80
  6. Step 6: Final answer
    x = 242,645.99

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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.