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Finding the Fourth Proportional to 223,997.34, 335,827.02 and 135,229.74

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Solution

The fourth proportional to 223,997.34, 335,827.02 and 135,229.74 is: 202,742.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,997.34 : 335,827.02 = 135,229.74 : x
  2. Step 2: Convert to fraction form
    223,997.34/335,827.02 = 135,229.74/x
  3. Step 3: Cross multiply
    223,997.34x = 335,827.02 × 135,229.74
  4. Step 4: Simplify right side
    223,997.34x = 45,413,800,599.57
  5. Step 5: Solve for x
    x = 45,413,800,599.57/223,997.34
  6. Step 6: Final answer
    x = 202,742.59

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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.