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Finding the Fourth Proportional to 299,242.72, 412,952.88 and 165,107.04

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Solution

The fourth proportional to 299,242.72, 412,952.88 and 165,107.04 is: 227,846.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,242.72 : 412,952.88 = 165,107.04 : x
  2. Step 2: Convert to fraction form
    299,242.72/412,952.88 = 165,107.04/x
  3. Step 3: Cross multiply
    299,242.72x = 412,952.88 × 165,107.04
  4. Step 4: Simplify right side
    299,242.72x = 68,181,427,676.28
  5. Step 5: Solve for x
    x = 68,181,427,676.28/299,242.72
  6. Step 6: Final answer
    x = 227,846.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.