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Finding the Fourth Proportional to 196,996.30, 295,057.05 and 162,004.30

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Solution

The fourth proportional to 196,996.30, 295,057.05 and 162,004.30 is: 242,646.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,996.30 : 295,057.05 = 162,004.30 : x
  2. Step 2: Convert to fraction form
    196,996.30/295,057.05 = 162,004.30/x
  3. Step 3: Cross multiply
    196,996.30x = 295,057.05 × 162,004.30
  4. Step 4: Simplify right side
    196,996.30x = 47,800,510,845.32
  5. Step 5: Solve for x
    x = 47,800,510,845.32/196,996.30
  6. Step 6: Final answer
    x = 242,646.74

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1.5x scale

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.