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Finding the Fourth Proportional to 267,354.31, 368,949.03 and 146,494.61

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Solution

The fourth proportional to 267,354.31, 368,949.03 and 146,494.61 is: 202,162.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,354.31 : 368,949.03 = 146,494.61 : x
  2. Step 2: Convert to fraction form
    267,354.31/368,949.03 = 146,494.61/x
  3. Step 3: Cross multiply
    267,354.31x = 368,949.03 × 146,494.61
  4. Step 4: Simplify right side
    267,354.31x = 54,049,044,259.73
  5. Step 5: Solve for x
    x = 54,049,044,259.73/267,354.31
  6. Step 6: Final answer
    x = 202,162.61

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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.