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Finding the Fourth Proportional to 146,532, 202,214.16 and 82,868.43

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Solution

The fourth proportional to 146,532, 202,214.16 and 82,868.43 is: 114,358.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,532 : 202,214.16 = 82,868.43 : x
  2. Step 2: Convert to fraction form
    146,532/202,214.16 = 82,868.43/x
  3. Step 3: Cross multiply
    146,532x = 202,214.16 × 82,868.43
  4. Step 4: Simplify right side
    146,532x = 16,757,169,962.97
  5. Step 5: Solve for x
    x = 16,757,169,962.97/146,532
  6. Step 6: Final answer
    x = 114,358.43

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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.