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Finding the Fourth Proportional to 299,241, 412,952.58 and 165,105

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Solution

The fourth proportional to 299,241, 412,952.58 and 165,105 is: 227,844.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,241 : 412,952.58 = 165,105 : x
  2. Step 2: Convert to fraction form
    299,241/412,952.58 = 165,105/x
  3. Step 3: Cross multiply
    299,241x = 412,952.58 × 165,105
  4. Step 4: Simplify right side
    299,241x = 68,180,535,720.90
  5. Step 5: Solve for x
    x = 68,180,535,720.90/299,241
  6. Step 6: Final answer
    x = 227,844.90

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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.