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Finding the Fourth Proportional to 175,494, 263,179.41 and 49,100.29

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Solution

The fourth proportional to 175,494, 263,179.41 and 49,100.29 is: 73,633.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,494 : 263,179.41 = 49,100.29 : x
  2. Step 2: Convert to fraction form
    175,494/263,179.41 = 49,100.29/x
  3. Step 3: Cross multiply
    175,494x = 263,179.41 × 49,100.29
  4. Step 4: Simplify right side
    175,494x = 12,922,185,353.03
  5. Step 5: Solve for x
    x = 12,922,185,353.03/175,494
  6. Step 6: Final answer
    x = 73,633.20

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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.