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Finding the Fourth Proportional to 204,095.34, 281,654.94 and 112,218.50

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Solution

The fourth proportional to 204,095.34, 281,654.94 and 112,218.50 is: 154,863.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,095.34 : 281,654.94 = 112,218.50 : x
  2. Step 2: Convert to fraction form
    204,095.34/281,654.94 = 112,218.50/x
  3. Step 3: Cross multiply
    204,095.34x = 281,654.94 × 112,218.50
  4. Step 4: Simplify right side
    204,095.34x = 31,606,894,884.39
  5. Step 5: Solve for x
    x = 31,606,894,884.39/204,095.34
  6. Step 6: Final answer
    x = 154,863.38

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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.