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Finding the Fourth Proportional to 188,788, 283,182 and 77,982.88

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Solution

The fourth proportional to 188,788, 283,182 and 77,982.88 is: 116,974.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,788 : 283,182 = 77,982.88 : x
  2. Step 2: Convert to fraction form
    188,788/283,182 = 77,982.88/x
  3. Step 3: Cross multiply
    188,788x = 283,182 × 77,982.88
  4. Step 4: Simplify right side
    188,788x = 22,083,347,924.16
  5. Step 5: Solve for x
    x = 22,083,347,924.16/188,788
  6. Step 6: Final answer
    x = 116,974.32

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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.