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Finding the Fourth Proportional to 229,134.20, 343,409.70 and 110,550.20

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Solution

The fourth proportional to 229,134.20, 343,409.70 and 110,550.20 is: 165,684.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,134.20 : 343,409.70 = 110,550.20 : x
  2. Step 2: Convert to fraction form
    229,134.20/343,409.70 = 110,550.20/x
  3. Step 3: Cross multiply
    229,134.20x = 343,409.70 × 110,550.20
  4. Step 4: Simplify right side
    229,134.20x = 37,964,011,016.94
  5. Step 5: Solve for x
    x = 37,964,011,016.94/229,134.20
  6. Step 6: Final answer
    x = 165,684.61

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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.