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Finding the Fourth Proportional to 238,186.54, 356,815.40 and 132,687.82

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Solution

The fourth proportional to 238,186.54, 356,815.40 and 132,687.82 is: 198,773.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,186.54 : 356,815.40 = 132,687.82 : x
  2. Step 2: Convert to fraction form
    238,186.54/356,815.40 = 132,687.82/x
  3. Step 3: Cross multiply
    238,186.54x = 356,815.40 × 132,687.82
  4. Step 4: Simplify right side
    238,186.54x = 47,345,057,568.43
  5. Step 5: Solve for x
    x = 47,345,057,568.43/238,186.54
  6. Step 6: Final answer
    x = 198,773.02

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Why These Related Problems?

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