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Finding the Fourth Proportional to 193,651.60, 289,699.80 and 167,645.20

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Solution

The fourth proportional to 193,651.60, 289,699.80 and 167,645.20 is: 250,794.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,651.60 : 289,699.80 = 167,645.20 : x
  2. Step 2: Convert to fraction form
    193,651.60/289,699.80 = 167,645.20/x
  3. Step 3: Cross multiply
    193,651.60x = 289,699.80 × 167,645.20
  4. Step 4: Simplify right side
    193,651.60x = 48,566,780,910.96
  5. Step 5: Solve for x
    x = 48,566,780,910.96/193,651.60
  6. Step 6: Final answer
    x = 250,794.63

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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.