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Finding the Fourth Proportional to 206,698.08, 309,985.50 and 80,357.94

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Solution

The fourth proportional to 206,698.08, 309,985.50 and 80,357.94 is: 120,512.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,698.08 : 309,985.50 = 80,357.94 : x
  2. Step 2: Convert to fraction form
    206,698.08/309,985.50 = 80,357.94/x
  3. Step 3: Cross multiply
    206,698.08x = 309,985.50 × 80,357.94
  4. Step 4: Simplify right side
    206,698.08x = 24,909,796,209.87
  5. Step 5: Solve for x
    x = 24,909,796,209.87/206,698.08
  6. Step 6: Final answer
    x = 120,512.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.