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Finding the Fourth Proportional to 229,104.75, 343,908.53 and 182,022.49

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Solution

The fourth proportional to 229,104.75, 343,908.53 and 182,022.49 is: 273,233.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,104.75 : 343,908.53 = 182,022.49 : x
  2. Step 2: Convert to fraction form
    229,104.75/343,908.53 = 182,022.49/x
  3. Step 3: Cross multiply
    229,104.75x = 343,908.53 × 182,022.49
  4. Step 4: Simplify right side
    229,104.75x = 62,599,088,189.07
  5. Step 5: Solve for x
    x = 62,599,088,189.07/229,104.75
  6. Step 6: Final answer
    x = 273,233.48

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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.