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Finding the Fourth Proportional to 273,629.20, 410,098.20 and 133,085.20

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Solution

The fourth proportional to 273,629.20, 410,098.20 and 133,085.20 is: 199,459.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,629.20 : 410,098.20 = 133,085.20 : x
  2. Step 2: Convert to fraction form
    273,629.20/410,098.20 = 133,085.20/x
  3. Step 3: Cross multiply
    273,629.20x = 410,098.20 × 133,085.20
  4. Step 4: Simplify right side
    273,629.20x = 54,578,000,966.64
  5. Step 5: Solve for x
    x = 54,578,000,966.64/273,629.20
  6. Step 6: Final answer
    x = 199,459.71

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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.