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Finding the Fourth Proportional to 231,763.44, 347,715.18 and 96,893.04

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Solution

The fourth proportional to 231,763.44, 347,715.18 and 96,893.04 is: 145,368.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,763.44 : 347,715.18 = 96,893.04 : x
  2. Step 2: Convert to fraction form
    231,763.44/347,715.18 = 96,893.04/x
  3. Step 3: Cross multiply
    231,763.44x = 347,715.18 × 96,893.04
  4. Step 4: Simplify right side
    231,763.44x = 33,691,180,844.35
  5. Step 5: Solve for x
    x = 33,691,180,844.35/231,763.44
  6. Step 6: Final answer
    x = 145,368.83

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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.