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Finding the Fourth Proportional to 229,163.40, 343,745.10 and 96,008.04

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Solution

The fourth proportional to 229,163.40, 343,745.10 and 96,008.04 is: 144,012.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,163.40 : 343,745.10 = 96,008.04 : x
  2. Step 2: Convert to fraction form
    229,163.40/343,745.10 = 96,008.04/x
  3. Step 3: Cross multiply
    229,163.40x = 343,745.10 × 96,008.04
  4. Step 4: Simplify right side
    229,163.40x = 33,002,293,310.60
  5. Step 5: Solve for x
    x = 33,002,293,310.60/229,163.40
  6. Step 6: Final answer
    x = 144,012.06

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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.