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Finding the Fourth Proportional to 361,257.40, 542,193.30 and 161,884.60

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Solution

The fourth proportional to 361,257.40, 542,193.30 and 161,884.60 is: 242,964.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,257.40 : 542,193.30 = 161,884.60 : x
  2. Step 2: Convert to fraction form
    361,257.40/542,193.30 = 161,884.60/x
  3. Step 3: Cross multiply
    361,257.40x = 542,193.30 × 161,884.60
  4. Step 4: Simplify right side
    361,257.40x = 87,772,745,493.18
  5. Step 5: Solve for x
    x = 87,772,745,493.18/361,257.40
  6. Step 6: Final answer
    x = 242,964.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.