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Finding the Fourth Proportional to 137,882.30, 190,298.14 and 84,198.43

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Solution

The fourth proportional to 137,882.30, 190,298.14 and 84,198.43 is: 116,206.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,882.30 : 190,298.14 = 84,198.43 : x
  2. Step 2: Convert to fraction form
    137,882.30/190,298.14 = 84,198.43/x
  3. Step 3: Cross multiply
    137,882.30x = 190,298.14 × 84,198.43
  4. Step 4: Simplify right side
    137,882.30x = 16,022,804,198.93
  5. Step 5: Solve for x
    x = 16,022,804,198.93/137,882.30
  6. Step 6: Final answer
    x = 116,206.39

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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.