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Finding the Fourth Proportional to 255,874.88, 353,382.72 and 194,793.92

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Solution

The fourth proportional to 255,874.88, 353,382.72 and 194,793.92 is: 269,025.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,874.88 : 353,382.72 = 194,793.92 : x
  2. Step 2: Convert to fraction form
    255,874.88/353,382.72 = 194,793.92/x
  3. Step 3: Cross multiply
    255,874.88x = 353,382.72 × 194,793.92
  4. Step 4: Simplify right side
    255,874.88x = 68,836,805,289.06
  5. Step 5: Solve for x
    x = 68,836,805,289.06/255,874.88
  6. Step 6: Final answer
    x = 269,025.26

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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.