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Finding the Fourth Proportional to 146,548.40, 202,240.42 and 82,017.14

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Solution

The fourth proportional to 146,548.40, 202,240.42 and 82,017.14 is: 113,185.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,548.40 : 202,240.42 = 82,017.14 : x
  2. Step 2: Convert to fraction form
    146,548.40/202,240.42 = 82,017.14/x
  3. Step 3: Cross multiply
    146,548.40x = 202,240.42 × 82,017.14
  4. Step 4: Simplify right side
    146,548.40x = 16,587,180,840.80
  5. Step 5: Solve for x
    x = 16,587,180,840.80/146,548.40
  6. Step 6: Final answer
    x = 113,185.68

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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.