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Finding the Fourth Proportional to 172,706.80, 258,622.80 and 137,714.80

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Solution

The fourth proportional to 172,706.80, 258,622.80 and 137,714.80 is: 206,223.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,706.80 : 258,622.80 = 137,714.80 : x
  2. Step 2: Convert to fraction form
    172,706.80/258,622.80 = 137,714.80/x
  3. Step 3: Cross multiply
    172,706.80x = 258,622.80 × 137,714.80
  4. Step 4: Simplify right side
    172,706.80x = 35,616,187,177.44
  5. Step 5: Solve for x
    x = 35,616,187,177.44/172,706.80
  6. Step 6: Final answer
    x = 206,223.42

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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.