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Finding the Fourth Proportional to 273,605.71, 410,449.70 and 96,081.48

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Solution

The fourth proportional to 273,605.71, 410,449.70 and 96,081.48 is: 144,136.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,605.71 : 410,449.70 = 96,081.48 : x
  2. Step 2: Convert to fraction form
    273,605.71/410,449.70 = 96,081.48/x
  3. Step 3: Cross multiply
    273,605.71x = 410,449.70 × 96,081.48
  4. Step 4: Simplify right side
    273,605.71x = 39,436,614,641.56
  5. Step 5: Solve for x
    x = 39,436,614,641.56/273,605.71
  6. Step 6: Final answer
    x = 144,136.67

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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.