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Finding the Fourth Proportional to 229,105.94, 343,690.13 and 133,088.27

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Solution

The fourth proportional to 229,105.94, 343,690.13 and 133,088.27 is: 199,650.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,105.94 : 343,690.13 = 133,088.27 : x
  2. Step 2: Convert to fraction form
    229,105.94/343,690.13 = 133,088.27/x
  3. Step 3: Cross multiply
    229,105.94x = 343,690.13 × 133,088.27
  4. Step 4: Simplify right side
    229,105.94x = 45,741,123,432.05
  5. Step 5: Solve for x
    x = 45,741,123,432.05/229,105.94
  6. Step 6: Final answer
    x = 199,650.54

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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.