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Finding the Fourth Proportional to 196,819.20, 295,228.80 and 174,268.80

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Solution

The fourth proportional to 196,819.20, 295,228.80 and 174,268.80 is: 261,403.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,819.20 : 295,228.80 = 174,268.80 : x
  2. Step 2: Convert to fraction form
    196,819.20/295,228.80 = 174,268.80/x
  3. Step 3: Cross multiply
    196,819.20x = 295,228.80 × 174,268.80
  4. Step 4: Simplify right side
    196,819.20x = 51,449,168,701.44
  5. Step 5: Solve for x
    x = 51,449,168,701.44/196,819.20
  6. Step 6: Final answer
    x = 261,403.20

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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.