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Finding the Fourth Proportional to 229,234.10, 343,851.15 and 205,906.10

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Solution

The fourth proportional to 229,234.10, 343,851.15 and 205,906.10 is: 308,859.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,234.10 : 343,851.15 = 205,906.10 : x
  2. Step 2: Convert to fraction form
    229,234.10/343,851.15 = 205,906.10/x
  3. Step 3: Cross multiply
    229,234.10x = 343,851.15 × 205,906.10
  4. Step 4: Simplify right side
    229,234.10x = 70,801,049,277.02
  5. Step 5: Solve for x
    x = 70,801,049,277.02/229,234.10
  6. Step 6: Final answer
    x = 308,859.15

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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.