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Finding the Fourth Proportional to 200,551.47, 300,821.04 and 82,133.63

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Solution

The fourth proportional to 200,551.47, 300,821.04 and 82,133.63 is: 123,197.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,551.47 : 300,821.04 = 82,133.63 : x
  2. Step 2: Convert to fraction form
    200,551.47/300,821.04 = 82,133.63/x
  3. Step 3: Cross multiply
    200,551.47x = 300,821.04 × 82,133.63
  4. Step 4: Simplify right side
    200,551.47x = 24,707,522,491.47
  5. Step 5: Solve for x
    x = 24,707,522,491.47/200,551.47
  6. Step 6: Final answer
    x = 123,197.91

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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.