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Finding the Fourth Proportional to 135,953.50, 203,999.50 and 96,227.86

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Solution

The fourth proportional to 135,953.50, 203,999.50 and 96,227.86 is: 144,390.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,953.50 : 203,999.50 = 96,227.86 : x
  2. Step 2: Convert to fraction form
    135,953.50/203,999.50 = 96,227.86/x
  3. Step 3: Cross multiply
    135,953.50x = 203,999.50 × 96,227.86
  4. Step 4: Simplify right side
    135,953.50x = 19,630,435,326.07
  5. Step 5: Solve for x
    x = 19,630,435,326.07/135,953.50
  6. Step 6: Final answer
    x = 144,390.81

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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.