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Finding the Fourth Proportional to 229,234.60, 343,949.10 and 145,059.40

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Solution

The fourth proportional to 229,234.60, 343,949.10 and 145,059.40 is: 217,650.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,234.60 : 343,949.10 = 145,059.40 : x
  2. Step 2: Convert to fraction form
    229,234.60/343,949.10 = 145,059.40/x
  3. Step 3: Cross multiply
    229,234.60x = 343,949.10 × 145,059.40
  4. Step 4: Simplify right side
    229,234.60x = 49,893,050,076.54
  5. Step 5: Solve for x
    x = 49,893,050,076.54/229,234.60
  6. Step 6: Final answer
    x = 217,650.61

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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.