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Finding the Fourth Proportional to 202,652.38, 279,515.24 and 142,236.50

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Solution

The fourth proportional to 202,652.38, 279,515.24 and 142,236.50 is: 196,184.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,652.38 : 279,515.24 = 142,236.50 : x
  2. Step 2: Convert to fraction form
    202,652.38/279,515.24 = 142,236.50/x
  3. Step 3: Cross multiply
    202,652.38x = 279,515.24 × 142,236.50
  4. Step 4: Simplify right side
    202,652.38x = 39,757,269,434.26
  5. Step 5: Solve for x
    x = 39,757,269,434.26/202,652.38
  6. Step 6: Final answer
    x = 196,184.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.