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Finding the Fourth Proportional to 206,890.40, 310,335.60 and 205,578.20

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Solution

The fourth proportional to 206,890.40, 310,335.60 and 205,578.20 is: 308,367.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,890.40 : 310,335.60 = 205,578.20 : x
  2. Step 2: Convert to fraction form
    206,890.40/310,335.60 = 205,578.20/x
  3. Step 3: Cross multiply
    206,890.40x = 310,335.60 × 205,578.20
  4. Step 4: Simplify right side
    206,890.40x = 63,798,234,043.92
  5. Step 5: Solve for x
    x = 63,798,234,043.92/206,890.40
  6. Step 6: Final answer
    x = 308,367.30

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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.