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Finding the Fourth Proportional to 146,009.72, 201,493.38 and 82,347.38

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Solution

The fourth proportional to 146,009.72, 201,493.38 and 82,347.38 is: 113,639.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,009.72 : 201,493.38 = 82,347.38 : x
  2. Step 2: Convert to fraction form
    146,009.72/201,493.38 = 82,347.38/x
  3. Step 3: Cross multiply
    146,009.72x = 201,493.38 × 82,347.38
  4. Step 4: Simplify right side
    146,009.72x = 16,592,451,930.34
  5. Step 5: Solve for x
    x = 16,592,451,930.34/146,009.72
  6. Step 6: Final answer
    x = 113,639.37

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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.