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Finding the Fourth Proportional to 299,182, 412,842.40 and 165,037.36

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Solution

The fourth proportional to 299,182, 412,842.40 and 165,037.36 is: 227,735.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,182 : 412,842.40 = 165,037.36 : x
  2. Step 2: Convert to fraction form
    299,182/412,842.40 = 165,037.36/x
  3. Step 3: Cross multiply
    299,182x = 412,842.40 × 165,037.36
  4. Step 4: Simplify right side
    299,182x = 68,134,419,792.06
  5. Step 5: Solve for x
    x = 68,134,419,792.06/299,182
  6. Step 6: Final answer
    x = 227,735.69

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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.