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Finding the Fourth Proportional to 146,049.76, 201,558 and 82,364.32

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Solution

The fourth proportional to 146,049.76, 201,558 and 82,364.32 is: 113,668.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,049.76 : 201,558 = 82,364.32 : x
  2. Step 2: Convert to fraction form
    146,049.76/201,558 = 82,364.32/x
  3. Step 3: Cross multiply
    146,049.76x = 201,558 × 82,364.32
  4. Step 4: Simplify right side
    146,049.76x = 16,601,187,610.56
  5. Step 5: Solve for x
    x = 16,601,187,610.56/146,049.76
  6. Step 6: Final answer
    x = 113,668.02

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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.