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Finding the Fourth Proportional to 229,093.10, 343,672.05 and 71,305.10

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Solution

The fourth proportional to 229,093.10, 343,672.05 and 71,305.10 is: 106,967.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,093.10 : 343,672.05 = 71,305.10 : x
  2. Step 2: Convert to fraction form
    229,093.10/343,672.05 = 71,305.10/x
  3. Step 3: Cross multiply
    229,093.10x = 343,672.05 × 71,305.10
  4. Step 4: Simplify right side
    229,093.10x = 24,505,569,892.46
  5. Step 5: Solve for x
    x = 24,505,569,892.46/229,093.10
  6. Step 6: Final answer
    x = 106,967.73

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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.