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Finding the Fourth Proportional to 138,619.52, 191,296.92 and 84,884.94

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Solution

The fourth proportional to 138,619.52, 191,296.92 and 84,884.94 is: 117,142.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,619.52 : 191,296.92 = 84,884.94 : x
  2. Step 2: Convert to fraction form
    138,619.52/191,296.92 = 84,884.94/x
  3. Step 3: Cross multiply
    138,619.52x = 191,296.92 × 84,884.94
  4. Step 4: Simplify right side
    138,619.52x = 16,238,227,576.38
  5. Step 5: Solve for x
    x = 16,238,227,576.38/138,619.52
  6. Step 6: Final answer
    x = 117,142.43

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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.