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Finding the Fourth Proportional to 229,128.50, 343,944.18 and 182,046.23

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Solution

The fourth proportional to 229,128.50, 343,944.18 and 182,046.23 is: 273,269.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,128.50 : 343,944.18 = 182,046.23 : x
  2. Step 2: Convert to fraction form
    229,128.50/343,944.18 = 182,046.23/x
  3. Step 3: Cross multiply
    229,128.50x = 343,944.18 × 182,046.23
  4. Step 4: Simplify right side
    229,128.50x = 62,613,741,299.44
  5. Step 5: Solve for x
    x = 62,613,741,299.44/229,128.50
  6. Step 6: Final answer
    x = 273,269.11

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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.