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Finding the Fourth Proportional to 208,967.80, 313,586.10 and 115,540.60

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Solution

The fourth proportional to 208,967.80, 313,586.10 and 115,540.60 is: 173,385.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,967.80 : 313,586.10 = 115,540.60 : x
  2. Step 2: Convert to fraction form
    208,967.80/313,586.10 = 115,540.60/x
  3. Step 3: Cross multiply
    208,967.80x = 313,586.10 × 115,540.60
  4. Step 4: Simplify right side
    208,967.80x = 36,231,926,145.66
  5. Step 5: Solve for x
    x = 36,231,926,145.66/208,967.80
  6. Step 6: Final answer
    x = 173,385.21

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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.