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Finding the Fourth Proportional to 229,129.50, 343,945.68 and 182,047.23

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Solution

The fourth proportional to 229,129.50, 343,945.68 and 182,047.23 is: 273,270.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,129.50 : 343,945.68 = 182,047.23 : x
  2. Step 2: Convert to fraction form
    229,129.50/343,945.68 = 182,047.23/x
  3. Step 3: Cross multiply
    229,129.50x = 343,945.68 × 182,047.23
  4. Step 4: Simplify right side
    229,129.50x = 62,614,358,314.47
  5. Step 5: Solve for x
    x = 62,614,358,314.47/229,129.50
  6. Step 6: Final answer
    x = 273,270.61

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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.