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Finding the Fourth Proportional to 273,609.96, 410,456.07 and 96,085.68

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Solution

The fourth proportional to 273,609.96, 410,456.07 and 96,085.68 is: 144,142.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,609.96 : 410,456.07 = 96,085.68 : x
  2. Step 2: Convert to fraction form
    273,609.96/410,456.07 = 96,085.68/x
  3. Step 3: Cross multiply
    273,609.96x = 410,456.07 × 96,085.68
  4. Step 4: Simplify right side
    273,609.96x = 39,438,950,596.08
  5. Step 5: Solve for x
    x = 39,438,950,596.08/273,609.96
  6. Step 6: Final answer
    x = 144,142.96

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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.