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Finding the Fourth Proportional to 229,059.87, 343,307.21 and 166,096.14

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Solution

The fourth proportional to 229,059.87, 343,307.21 and 166,096.14 is: 248,939.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,059.87 : 343,307.21 = 166,096.14 : x
  2. Step 2: Convert to fraction form
    229,059.87/343,307.21 = 166,096.14/x
  3. Step 3: Cross multiply
    229,059.87x = 343,307.21 × 166,096.14
  4. Step 4: Simplify right side
    229,059.87x = 57,022,001,584.69
  5. Step 5: Solve for x
    x = 57,022,001,584.69/229,059.87
  6. Step 6: Final answer
    x = 248,939.29

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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.