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Finding the Fourth Proportional to 251,594.46, 347,198.31 and 142,719.48

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Solution

The fourth proportional to 251,594.46, 347,198.31 and 142,719.48 is: 196,951.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,594.46 : 347,198.31 = 142,719.48 : x
  2. Step 2: Convert to fraction form
    251,594.46/347,198.31 = 142,719.48/x
  3. Step 3: Cross multiply
    251,594.46x = 347,198.31 × 142,719.48
  4. Step 4: Simplify right side
    251,594.46x = 49,551,962,260.08
  5. Step 5: Solve for x
    x = 49,551,962,260.08/251,594.46
  6. Step 6: Final answer
    x = 196,951.72

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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.