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Finding the Fourth Proportional to 201,892.89, 302,844.20 and 96,596.13

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Solution

The fourth proportional to 201,892.89, 302,844.20 and 96,596.13 is: 144,896.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,892.89 : 302,844.20 = 96,596.13 : x
  2. Step 2: Convert to fraction form
    201,892.89/302,844.20 = 96,596.13/x
  3. Step 3: Cross multiply
    201,892.89x = 302,844.20 × 96,596.13
  4. Step 4: Simplify right side
    201,892.89x = 29,253,577,229.97
  5. Step 5: Solve for x
    x = 29,253,577,229.97/201,892.89
  6. Step 6: Final answer
    x = 144,896.52

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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.