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Finding the Fourth Proportional to 229,103.20, 343,363.20 and 204,025.60

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Solution

The fourth proportional to 229,103.20, 343,363.20 and 204,025.60 is: 305,778.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,103.20 : 343,363.20 = 204,025.60 : x
  2. Step 2: Convert to fraction form
    229,103.20/343,363.20 = 204,025.60/x
  3. Step 3: Cross multiply
    229,103.20x = 343,363.20 × 204,025.60
  4. Step 4: Simplify right side
    229,103.20x = 70,054,882,897.92
  5. Step 5: Solve for x
    x = 70,054,882,897.92/229,103.20
  6. Step 6: Final answer
    x = 305,778.72

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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.