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Finding the Fourth Proportional to 231,658.20, 347,487.30 and 81,897.30

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Solution

The fourth proportional to 231,658.20, 347,487.30 and 81,897.30 is: 122,845.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,658.20 : 347,487.30 = 81,897.30 : x
  2. Step 2: Convert to fraction form
    231,658.20/347,487.30 = 81,897.30/x
  3. Step 3: Cross multiply
    231,658.20x = 347,487.30 × 81,897.30
  4. Step 4: Simplify right side
    231,658.20x = 28,458,271,654.29
  5. Step 5: Solve for x
    x = 28,458,271,654.29/231,658.20
  6. Step 6: Final answer
    x = 122,845.95

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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.