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Finding the Fourth Proportional to 232,882.20, 349,212.78 and 106,485

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Solution

The fourth proportional to 232,882.20, 349,212.78 and 106,485 is: 159,676.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,882.20 : 349,212.78 = 106,485 : x
  2. Step 2: Convert to fraction form
    232,882.20/349,212.78 = 106,485/x
  3. Step 3: Cross multiply
    232,882.20x = 349,212.78 × 106,485
  4. Step 4: Simplify right side
    232,882.20x = 37,185,922,878.30
  5. Step 5: Solve for x
    x = 37,185,922,878.30/232,882.20
  6. Step 6: Final answer
    x = 159,676.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.