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Finding the Fourth Proportional to 279,082.94, 418,096.19 and 164,889.25

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Solution

The fourth proportional to 279,082.94, 418,096.19 and 164,889.25 is: 247,021.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,082.94 : 418,096.19 = 164,889.25 : x
  2. Step 2: Convert to fraction form
    279,082.94/418,096.19 = 164,889.25/x
  3. Step 3: Cross multiply
    279,082.94x = 418,096.19 × 164,889.25
  4. Step 4: Simplify right side
    279,082.94x = 68,939,567,196.96
  5. Step 5: Solve for x
    x = 68,939,567,196.96/279,082.94
  6. Step 6: Final answer
    x = 247,021.79

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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.