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Finding the Fourth Proportional to 223,693.20, 335,321.10 and 200,073.60

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Solution

The fourth proportional to 223,693.20, 335,321.10 and 200,073.60 is: 299,914.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,693.20 : 335,321.10 = 200,073.60 : x
  2. Step 2: Convert to fraction form
    223,693.20/335,321.10 = 200,073.60/x
  3. Step 3: Cross multiply
    223,693.20x = 335,321.10 × 200,073.60
  4. Step 4: Simplify right side
    223,693.20x = 67,088,899,632.96
  5. Step 5: Solve for x
    x = 67,088,899,632.96/223,693.20
  6. Step 6: Final answer
    x = 299,914.79

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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.