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Finding the Fourth Proportional to 198,627.60, 297,941.40 and 197,245.20

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Solution

The fourth proportional to 198,627.60, 297,941.40 and 197,245.20 is: 295,867.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,627.60 : 297,941.40 = 197,245.20 : x
  2. Step 2: Convert to fraction form
    198,627.60/297,941.40 = 197,245.20/x
  3. Step 3: Cross multiply
    198,627.60x = 297,941.40 × 197,245.20
  4. Step 4: Simplify right side
    198,627.60x = 58,767,511,031.28
  5. Step 5: Solve for x
    x = 58,767,511,031.28/198,627.60
  6. Step 6: Final answer
    x = 295,867.80

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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.