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Finding the Fourth Proportional to 213,113.40, 319,842.90 and 206,201.40

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Solution

The fourth proportional to 213,113.40, 319,842.90 and 206,201.40 is: 309,469.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,113.40 : 319,842.90 = 206,201.40 : x
  2. Step 2: Convert to fraction form
    213,113.40/319,842.90 = 206,201.40/x
  3. Step 3: Cross multiply
    213,113.40x = 319,842.90 × 206,201.40
  4. Step 4: Simplify right side
    213,113.40x = 65,952,053,760.06
  5. Step 5: Solve for x
    x = 65,952,053,760.06/213,113.40
  6. Step 6: Final answer
    x = 309,469.30

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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.