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Finding the Fourth Proportional to 133,514.43, 200,271.14 and 54,628.63

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Solution

The fourth proportional to 133,514.43, 200,271.14 and 54,628.63 is: 81,942.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,514.43 : 200,271.14 = 54,628.63 : x
  2. Step 2: Convert to fraction form
    133,514.43/200,271.14 = 54,628.63/x
  3. Step 3: Cross multiply
    133,514.43x = 200,271.14 × 54,628.63
  4. Step 4: Simplify right side
    133,514.43x = 10,940,538,006.74
  5. Step 5: Solve for x
    x = 10,940,538,006.74/133,514.43
  6. Step 6: Final answer
    x = 81,942.74

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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.