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Finding the Fourth Proportional to 206,102, 309,197.10 and 63,944.22

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Solution

The fourth proportional to 206,102, 309,197.10 and 63,944.22 is: 95,930.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,102 : 309,197.10 = 63,944.22 : x
  2. Step 2: Convert to fraction form
    206,102/309,197.10 = 63,944.22/x
  3. Step 3: Cross multiply
    206,102x = 309,197.10 × 63,944.22
  4. Step 4: Simplify right side
    206,102x = 19,771,367,385.76
  5. Step 5: Solve for x
    x = 19,771,367,385.76/206,102
  6. Step 6: Final answer
    x = 95,930.01

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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.