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Finding the Fourth Proportional to 273,309.38, 409,963.96 and 140,104.68

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Solution

The fourth proportional to 273,309.38, 409,963.96 and 140,104.68 is: 210,156.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,309.38 : 409,963.96 = 140,104.68 : x
  2. Step 2: Convert to fraction form
    273,309.38/409,963.96 = 140,104.68/x
  3. Step 3: Cross multiply
    273,309.38x = 409,963.96 × 140,104.68
  4. Step 4: Simplify right side
    273,309.38x = 57,437,869,427.33
  5. Step 5: Solve for x
    x = 57,437,869,427.33/273,309.38
  6. Step 6: Final answer
    x = 210,156.96

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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.