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Finding the Fourth Proportional to 146,178.92, 201,712.38 and 82,504.46

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Solution

The fourth proportional to 146,178.92, 201,712.38 and 82,504.46 is: 113,847.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,178.92 : 201,712.38 = 82,504.46 : x
  2. Step 2: Convert to fraction form
    146,178.92/201,712.38 = 82,504.46/x
  3. Step 3: Cross multiply
    146,178.92x = 201,712.38 × 82,504.46
  4. Step 4: Simplify right side
    146,178.92x = 16,642,170,987.21
  5. Step 5: Solve for x
    x = 16,642,170,987.21/146,178.92
  6. Step 6: Final answer
    x = 113,847.95

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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.