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Finding the Fourth Proportional to 146,005.39, 201,490.37 and 82,330.75

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Solution

The fourth proportional to 146,005.39, 201,490.37 and 82,330.75 is: 113,618.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,005.39 : 201,490.37 = 82,330.75 : x
  2. Step 2: Convert to fraction form
    146,005.39/201,490.37 = 82,330.75/x
  3. Step 3: Cross multiply
    146,005.39x = 201,490.37 × 82,330.75
  4. Step 4: Simplify right side
    146,005.39x = 16,588,853,279.88
  5. Step 5: Solve for x
    x = 16,588,853,279.88/146,005.39
  6. Step 6: Final answer
    x = 113,618.09

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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.