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Finding the Fourth Proportional to 138,632.14, 191,361.37 and 82,043.38

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Solution

The fourth proportional to 138,632.14, 191,361.37 and 82,043.38 is: 113,248.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,632.14 : 191,361.37 = 82,043.38 : x
  2. Step 2: Convert to fraction form
    138,632.14/191,361.37 = 82,043.38/x
  3. Step 3: Cross multiply
    138,632.14x = 191,361.37 × 82,043.38
  4. Step 4: Simplify right side
    138,632.14x = 15,699,932,639.42
  5. Step 5: Solve for x
    x = 15,699,932,639.42/138,632.14
  6. Step 6: Final answer
    x = 113,248.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.