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Finding the Fourth Proportional to 229,096.60, 343,731.30 and 110,872.60

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Solution

The fourth proportional to 229,096.60, 343,731.30 and 110,872.60 is: 166,350.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,096.60 : 343,731.30 = 110,872.60 : x
  2. Step 2: Convert to fraction form
    229,096.60/343,731.30 = 110,872.60/x
  3. Step 3: Cross multiply
    229,096.60x = 343,731.30 × 110,872.60
  4. Step 4: Simplify right side
    229,096.60x = 38,110,382,932.38
  5. Step 5: Solve for x
    x = 38,110,382,932.38/229,096.60
  6. Step 6: Final answer
    x = 166,350.71

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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.