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Finding the Fourth Proportional to 82,770, 123,859.62 and 71,714.58

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Solution

The fourth proportional to 82,770, 123,859.62 and 71,714.58 is: 107,315.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,770 : 123,859.62 = 71,714.58 : x
  2. Step 2: Convert to fraction form
    82,770/123,859.62 = 71,714.58/x
  3. Step 3: Cross multiply
    82,770x = 123,859.62 × 71,714.58
  4. Step 4: Simplify right side
    82,770x = 8,882,540,627.26
  5. Step 5: Solve for x
    x = 8,882,540,627.26/82,770
  6. Step 6: Final answer
    x = 107,315.94

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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.