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Finding the Fourth Proportional to 201,889.89, 302,839.70 and 96,593.13

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Solution

The fourth proportional to 201,889.89, 302,839.70 and 96,593.13 is: 144,892.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,889.89 : 302,839.70 = 96,593.13 : x
  2. Step 2: Convert to fraction form
    201,889.89/302,839.70 = 96,593.13/x
  3. Step 3: Cross multiply
    201,889.89x = 302,839.70 × 96,593.13
  4. Step 4: Simplify right side
    201,889.89x = 29,252,234,028.30
  5. Step 5: Solve for x
    x = 29,252,234,028.30/201,889.89
  6. Step 6: Final answer
    x = 144,892.02

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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.