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Finding the Fourth Proportional to 272,199.60, 408,736.80 and 197,841.60

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Solution

The fourth proportional to 272,199.60, 408,736.80 and 197,841.60 is: 297,080.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,199.60 : 408,736.80 = 197,841.60 : x
  2. Step 2: Convert to fraction form
    272,199.60/408,736.80 = 197,841.60/x
  3. Step 3: Cross multiply
    272,199.60x = 408,736.80 × 197,841.60
  4. Step 4: Simplify right side
    272,199.60x = 80,865,142,490.88
  5. Step 5: Solve for x
    x = 80,865,142,490.88/272,199.60
  6. Step 6: Final answer
    x = 297,080.31

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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.