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Finding the Fourth Proportional to 273,623.80, 410,476.74 and 96,099.52

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Solution

The fourth proportional to 273,623.80, 410,476.74 and 96,099.52 is: 144,163.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,623.80 : 410,476.74 = 96,099.52 : x
  2. Step 2: Convert to fraction form
    273,623.80/410,476.74 = 96,099.52/x
  3. Step 3: Cross multiply
    273,623.80x = 410,476.74 × 96,099.52
  4. Step 4: Simplify right side
    273,623.80x = 39,446,617,685.16
  5. Step 5: Solve for x
    x = 39,446,617,685.16/273,623.80
  6. Step 6: Final answer
    x = 144,163.69

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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.