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Finding the Fourth Proportional to 299,239.50, 412,950.52 and 165,103.50

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Solution

The fourth proportional to 299,239.50, 412,950.52 and 165,103.50 is: 227,842.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,239.50 : 412,950.52 = 165,103.50 : x
  2. Step 2: Convert to fraction form
    299,239.50/412,950.52 = 165,103.50/x
  3. Step 3: Cross multiply
    299,239.50x = 412,950.52 × 165,103.50
  4. Step 4: Simplify right side
    299,239.50x = 68,179,576,178.82
  5. Step 5: Solve for x
    x = 68,179,576,178.82/299,239.50
  6. Step 6: Final answer
    x = 227,842.84

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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.