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Finding the Fourth Proportional to 134,961, 202,456.20 and 82,706.28

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Solution

The fourth proportional to 134,961, 202,456.20 and 82,706.28 is: 124,068.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,961 : 202,456.20 = 82,706.28 : x
  2. Step 2: Convert to fraction form
    134,961/202,456.20 = 82,706.28/x
  3. Step 3: Cross multiply
    134,961x = 202,456.20 × 82,706.28
  4. Step 4: Simplify right side
    134,961x = 16,744,399,164.94
  5. Step 5: Solve for x
    x = 16,744,399,164.94/134,961
  6. Step 6: Final answer
    x = 124,068.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.