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Finding the Fourth Proportional to 227,999.20, 341,998.80 and 109,609.60

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Solution

The fourth proportional to 227,999.20, 341,998.80 and 109,609.60 is: 164,414.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,999.20 : 341,998.80 = 109,609.60 : x
  2. Step 2: Convert to fraction form
    227,999.20/341,998.80 = 109,609.60/x
  3. Step 3: Cross multiply
    227,999.20x = 341,998.80 × 109,609.60
  4. Step 4: Simplify right side
    227,999.20x = 37,486,351,668.48
  5. Step 5: Solve for x
    x = 37,486,351,668.48/227,999.20
  6. Step 6: Final answer
    x = 164,414.40

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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.