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Finding the Fourth Proportional to 206,942.80, 310,414.20 and 180,698.80

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Solution

The fourth proportional to 206,942.80, 310,414.20 and 180,698.80 is: 271,048.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,942.80 : 310,414.20 = 180,698.80 : x
  2. Step 2: Convert to fraction form
    206,942.80/310,414.20 = 180,698.80/x
  3. Step 3: Cross multiply
    206,942.80x = 310,414.20 × 180,698.80
  4. Step 4: Simplify right side
    206,942.80x = 56,091,473,442.96
  5. Step 5: Solve for x
    x = 56,091,473,442.96/206,942.80
  6. Step 6: Final answer
    x = 271,048.20

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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.