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Finding the Fourth Proportional to 273,238.67, 409,885.33 and 83,696.84

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Solution

The fourth proportional to 273,238.67, 409,885.33 and 83,696.84 is: 125,553.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,238.67 : 409,885.33 = 83,696.84 : x
  2. Step 2: Convert to fraction form
    273,238.67/409,885.33 = 83,696.84/x
  3. Step 3: Cross multiply
    273,238.67x = 409,885.33 × 83,696.84
  4. Step 4: Simplify right side
    273,238.67x = 34,306,108,624.30
  5. Step 5: Solve for x
    x = 34,306,108,624.30/273,238.67
  6. Step 6: Final answer
    x = 125,553.64

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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.