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Finding the Fourth Proportional to 204,254.34, 281,673.09 and 136,274.09

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Solution

The fourth proportional to 204,254.34, 281,673.09 and 136,274.09 is: 187,926.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,254.34 : 281,673.09 = 136,274.09 : x
  2. Step 2: Convert to fraction form
    204,254.34/281,673.09 = 136,274.09/x
  3. Step 3: Cross multiply
    204,254.34x = 281,673.09 × 136,274.09
  4. Step 4: Simplify right side
    204,254.34x = 38,384,742,608.87
  5. Step 5: Solve for x
    x = 38,384,742,608.87/204,254.34
  6. Step 6: Final answer
    x = 187,926.20

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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.