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Finding the Fourth Proportional to 195,046.25, 269,163.83 and 105,622.25

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Solution

The fourth proportional to 195,046.25, 269,163.83 and 105,622.25 is: 145,758.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,046.25 : 269,163.83 = 105,622.25 : x
  2. Step 2: Convert to fraction form
    195,046.25/269,163.83 = 105,622.25/x
  3. Step 3: Cross multiply
    195,046.25x = 269,163.83 × 105,622.25
  4. Step 4: Simplify right side
    195,046.25x = 28,429,688,815.11
  5. Step 5: Solve for x
    x = 28,429,688,815.11/195,046.25
  6. Step 6: Final answer
    x = 145,758.71

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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.