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Finding the Fourth Proportional to 299,241.12, 412,952.52 and 165,105.12

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Solution

The fourth proportional to 299,241.12, 412,952.52 and 165,105.12 is: 227,844.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,241.12 : 412,952.52 = 165,105.12 : x
  2. Step 2: Convert to fraction form
    299,241.12/412,952.52 = 165,105.12/x
  3. Step 3: Cross multiply
    299,241.12x = 412,952.52 × 165,105.12
  4. Step 4: Simplify right side
    299,241.12x = 68,180,575,368.90
  5. Step 5: Solve for x
    x = 68,180,575,368.90/299,241.12
  6. Step 6: Final answer
    x = 227,844.94

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