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Finding the Fourth Proportional to 146,593.84, 202,282.43 and 82,066.61

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Solution

The fourth proportional to 146,593.84, 202,282.43 and 82,066.61 is: 113,242.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,593.84 : 202,282.43 = 82,066.61 : x
  2. Step 2: Convert to fraction form
    146,593.84/202,282.43 = 82,066.61/x
  3. Step 3: Cross multiply
    146,593.84x = 202,282.43 × 82,066.61
  4. Step 4: Simplify right side
    146,593.84x = 16,600,633,497.83
  5. Step 5: Solve for x
    x = 16,600,633,497.83/146,593.84
  6. Step 6: Final answer
    x = 113,242.37

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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.