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Finding the Fourth Proportional to 195,467.82, 269,746.11 and 106,043.82

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Solution

The fourth proportional to 195,467.82, 269,746.11 and 106,043.82 is: 146,340.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,467.82 : 269,746.11 = 106,043.82 : x
  2. Step 2: Convert to fraction form
    195,467.82/269,746.11 = 106,043.82/x
  3. Step 3: Cross multiply
    195,467.82x = 269,746.11 × 106,043.82
  4. Step 4: Simplify right side
    195,467.82x = 28,604,907,934.54
  5. Step 5: Solve for x
    x = 28,604,907,934.54/195,467.82
  6. Step 6: Final answer
    x = 146,340.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.