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Finding the Fourth Proportional to 132,238, 198,357 and 33,742

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Solution

The fourth proportional to 132,238, 198,357 and 33,742 is: 50,613

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,238 : 198,357 = 33,742 : x
  2. Step 2: Convert to fraction form
    132,238/198,357 = 33,742/x
  3. Step 3: Cross multiply
    132,238x = 198,357 × 33,742
  4. Step 4: Simplify right side
    132,238x = 6,692,961,894
  5. Step 5: Solve for x
    x = 6,692,961,894/132,238
  6. Step 6: Final answer
    x = 50,613

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.