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Finding the Fourth Proportional to 269,108.20, 403,316.70 and 206,468.20

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Solution

The fourth proportional to 269,108.20, 403,316.70 and 206,468.20 is: 309,437.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,108.20 : 403,316.70 = 206,468.20 : x
  2. Step 2: Convert to fraction form
    269,108.20/403,316.70 = 206,468.20/x
  3. Step 3: Cross multiply
    269,108.20x = 403,316.70 × 206,468.20
  4. Step 4: Simplify right side
    269,108.20x = 83,272,073,078.94
  5. Step 5: Solve for x
    x = 83,272,073,078.94/269,108.20
  6. Step 6: Final answer
    x = 309,437.14

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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.