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Finding the Fourth Proportional to 267,844.44, 369,630.90 and 146,978.67

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Solution

The fourth proportional to 267,844.44, 369,630.90 and 146,978.67 is: 202,833.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,844.44 : 369,630.90 = 146,978.67 : x
  2. Step 2: Convert to fraction form
    267,844.44/369,630.90 = 146,978.67/x
  3. Step 3: Cross multiply
    267,844.44x = 369,630.90 × 146,978.67
  4. Step 4: Simplify right side
    267,844.44x = 54,327,858,072.90
  5. Step 5: Solve for x
    x = 54,327,858,072.90/267,844.44
  6. Step 6: Final answer
    x = 202,833.62

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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.