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Finding the Fourth Proportional to 231,750.60, 347,625.90 and 206,381.40

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Solution

The fourth proportional to 231,750.60, 347,625.90 and 206,381.40 is: 309,572.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,750.60 : 347,625.90 = 206,381.40 : x
  2. Step 2: Convert to fraction form
    231,750.60/347,625.90 = 206,381.40/x
  3. Step 3: Cross multiply
    231,750.60x = 347,625.90 × 206,381.40
  4. Step 4: Simplify right side
    231,750.60x = 71,743,519,918.26
  5. Step 5: Solve for x
    x = 71,743,519,918.26/231,750.60
  6. Step 6: Final answer
    x = 309,572.10

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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.