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Finding the Fourth Proportional to 206,823.80, 309,717.30 and 136,321.40

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Solution

The fourth proportional to 206,823.80, 309,717.30 and 136,321.40 is: 204,140.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,823.80 : 309,717.30 = 136,321.40 : x
  2. Step 2: Convert to fraction form
    206,823.80/309,717.30 = 136,321.40/x
  3. Step 3: Cross multiply
    206,823.80x = 309,717.30 × 136,321.40
  4. Step 4: Simplify right side
    206,823.80x = 42,221,095,940.22
  5. Step 5: Solve for x
    x = 42,221,095,940.22/206,823.80
  6. Step 6: Final answer
    x = 204,140.41

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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.