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Finding the Fourth Proportional to 204,634.71, 282,358.43 and 113,988.42

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Solution

The fourth proportional to 204,634.71, 282,358.43 and 113,988.42 is: 157,283.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,634.71 : 282,358.43 = 113,988.42 : x
  2. Step 2: Convert to fraction form
    204,634.71/282,358.43 = 113,988.42/x
  3. Step 3: Cross multiply
    204,634.71x = 282,358.43 × 113,988.42
  4. Step 4: Simplify right side
    204,634.71x = 32,185,590,739.44
  5. Step 5: Solve for x
    x = 32,185,590,739.44/204,634.71
  6. Step 6: Final answer
    x = 157,283.14

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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.