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Finding the Fourth Proportional to 205,843.20, 308,764.80 and 193,401.60

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Solution

The fourth proportional to 205,843.20, 308,764.80 and 193,401.60 is: 290,102.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,843.20 : 308,764.80 = 193,401.60 : x
  2. Step 2: Convert to fraction form
    205,843.20/308,764.80 = 193,401.60/x
  3. Step 3: Cross multiply
    205,843.20x = 308,764.80 × 193,401.60
  4. Step 4: Simplify right side
    205,843.20x = 59,715,606,343.68
  5. Step 5: Solve for x
    x = 59,715,606,343.68/205,843.20
  6. Step 6: Final answer
    x = 290,102.40

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1.5x scale

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.