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Finding the Fourth Proportional to 196,114.18, 270,665.20 and 114,469.22

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Solution

The fourth proportional to 196,114.18, 270,665.20 and 114,469.22 is: 157,983.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,114.18 : 270,665.20 = 114,469.22 : x
  2. Step 2: Convert to fraction form
    196,114.18/270,665.20 = 114,469.22/x
  3. Step 3: Cross multiply
    196,114.18x = 270,665.20 × 114,469.22
  4. Step 4: Simplify right side
    196,114.18x = 30,982,834,325.14
  5. Step 5: Solve for x
    x = 30,982,834,325.14/196,114.18
  6. Step 6: Final answer
    x = 157,983.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.