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Finding the Fourth Proportional to 219,933.20, 329,608.20 and 194,855.60

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Solution

The fourth proportional to 219,933.20, 329,608.20 and 194,855.60 is: 292,025.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,933.20 : 329,608.20 = 194,855.60 : x
  2. Step 2: Convert to fraction form
    219,933.20/329,608.20 = 194,855.60/x
  3. Step 3: Cross multiply
    219,933.20x = 329,608.20 × 194,855.60
  4. Step 4: Simplify right side
    219,933.20x = 64,226,003,575.92
  5. Step 5: Solve for x
    x = 64,226,003,575.92/219,933.20
  6. Step 6: Final answer
    x = 292,025.05

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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.