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Finding the Fourth Proportional to 146,082.17, 201,593.59 and 82,425.89

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Solution

The fourth proportional to 146,082.17, 201,593.59 and 82,425.89 is: 113,747.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,082.17 : 201,593.59 = 82,425.89 : x
  2. Step 2: Convert to fraction form
    146,082.17/201,593.59 = 82,425.89/x
  3. Step 3: Cross multiply
    146,082.17x = 201,593.59 × 82,425.89
  4. Step 4: Simplify right side
    146,082.17x = 16,616,530,701.65
  5. Step 5: Solve for x
    x = 16,616,530,701.65/146,082.17
  6. Step 6: Final answer
    x = 113,747.84

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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.