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Finding the Fourth Proportional to 202,650.38, 279,512.48 and 142,234.50

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Solution

The fourth proportional to 202,650.38, 279,512.48 and 142,234.50 is: 196,181.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,650.38 : 279,512.48 = 142,234.50 : x
  2. Step 2: Convert to fraction form
    202,650.38/279,512.48 = 142,234.50/x
  3. Step 3: Cross multiply
    202,650.38x = 279,512.48 × 142,234.50
  4. Step 4: Simplify right side
    202,650.38x = 39,756,319,240.32
  5. Step 5: Solve for x
    x = 39,756,319,240.32/202,650.38
  6. Step 6: Final answer
    x = 196,181.82

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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.