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Finding the Fourth Proportional to 228,937.22, 343,406.44 and 71,165.82

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Solution

The fourth proportional to 228,937.22, 343,406.44 and 71,165.82 is: 106,748.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,937.22 : 343,406.44 = 71,165.82 : x
  2. Step 2: Convert to fraction form
    228,937.22/343,406.44 = 71,165.82/x
  3. Step 3: Cross multiply
    228,937.22x = 343,406.44 × 71,165.82
  4. Step 4: Simplify right side
    228,937.22x = 24,438,801,872.30
  5. Step 5: Solve for x
    x = 24,438,801,872.30/228,937.22
  6. Step 6: Final answer
    x = 106,748.92

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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.