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Finding the Fourth Proportional to 231,847.40, 347,684.70 and 82,029.80

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Solution

The fourth proportional to 231,847.40, 347,684.70 and 82,029.80 is: 123,014.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,847.40 : 347,684.70 = 82,029.80 : x
  2. Step 2: Convert to fraction form
    231,847.40/347,684.70 = 82,029.80/x
  3. Step 3: Cross multiply
    231,847.40x = 347,684.70 × 82,029.80
  4. Step 4: Simplify right side
    231,847.40x = 28,520,506,404.06
  5. Step 5: Solve for x
    x = 28,520,506,404.06/231,847.40
  6. Step 6: Final answer
    x = 123,014.13

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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.