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Finding the Fourth Proportional to 267,511.38, 369,163.35 and 146,650.47

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Solution

The fourth proportional to 267,511.38, 369,163.35 and 146,650.47 is: 202,376.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,511.38 : 369,163.35 = 146,650.47 : x
  2. Step 2: Convert to fraction form
    267,511.38/369,163.35 = 146,650.47/x
  3. Step 3: Cross multiply
    267,511.38x = 369,163.35 × 146,650.47
  4. Step 4: Simplify right side
    267,511.38x = 54,137,978,784.27
  5. Step 5: Solve for x
    x = 54,137,978,784.27/267,511.38
  6. Step 6: Final answer
    x = 202,376.36

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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.