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Finding the Fourth Proportional to 204,298.82, 281,927.49 and 113,655.14

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Solution

The fourth proportional to 204,298.82, 281,927.49 and 113,655.14 is: 156,841.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,298.82 : 281,927.49 = 113,655.14 : x
  2. Step 2: Convert to fraction form
    204,298.82/281,927.49 = 113,655.14/x
  3. Step 3: Cross multiply
    204,298.82x = 281,927.49 × 113,655.14
  4. Step 4: Simplify right side
    204,298.82x = 32,042,508,345.80
  5. Step 5: Solve for x
    x = 32,042,508,345.80/204,298.82
  6. Step 6: Final answer
    x = 156,841.38

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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.