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Finding the Fourth Proportional to 206,829.60, 310,317.30 and 199,539.60

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Solution

The fourth proportional to 206,829.60, 310,317.30 and 199,539.60 is: 299,379.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,829.60 : 310,317.30 = 199,539.60 : x
  2. Step 2: Convert to fraction form
    206,829.60/310,317.30 = 199,539.60/x
  3. Step 3: Cross multiply
    206,829.60x = 310,317.30 × 199,539.60
  4. Step 4: Simplify right side
    206,829.60x = 61,920,589,915.08
  5. Step 5: Solve for x
    x = 61,920,589,915.08/206,829.60
  6. Step 6: Final answer
    x = 299,379.73

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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.