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Finding the Fourth Proportional to 198,567.54, 297,819.90 and 165,048.66

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Solution

The fourth proportional to 198,567.54, 297,819.90 and 165,048.66 is: 247,546.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,567.54 : 297,819.90 = 165,048.66 : x
  2. Step 2: Convert to fraction form
    198,567.54/297,819.90 = 165,048.66/x
  3. Step 3: Cross multiply
    198,567.54x = 297,819.90 × 165,048.66
  4. Step 4: Simplify right side
    198,567.54x = 49,154,775,416.33
  5. Step 5: Solve for x
    x = 49,154,775,416.33/198,567.54
  6. Step 6: Final answer
    x = 247,546.88

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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.