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Finding the Fourth Proportional to 275,988.53, 413,685.27 and 133,532.82

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Solution

The fourth proportional to 275,988.53, 413,685.27 and 133,532.82 is: 200,155.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,988.53 : 413,685.27 = 133,532.82 : x
  2. Step 2: Convert to fraction form
    275,988.53/413,685.27 = 133,532.82/x
  3. Step 3: Cross multiply
    275,988.53x = 413,685.27 × 133,532.82
  4. Step 4: Simplify right side
    275,988.53x = 55,240,560,695.56
  5. Step 5: Solve for x
    x = 55,240,560,695.56/275,988.53
  6. Step 6: Final answer
    x = 200,155.28

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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.