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Finding the Fourth Proportional to 175,687.80, 263,531.70 and 133,697.40

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Solution

The fourth proportional to 175,687.80, 263,531.70 and 133,697.40 is: 200,546.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,687.80 : 263,531.70 = 133,697.40 : x
  2. Step 2: Convert to fraction form
    175,687.80/263,531.70 = 133,697.40/x
  3. Step 3: Cross multiply
    175,687.80x = 263,531.70 × 133,697.40
  4. Step 4: Simplify right side
    175,687.80x = 35,233,503,107.58
  5. Step 5: Solve for x
    x = 35,233,503,107.58/175,687.80
  6. Step 6: Final answer
    x = 200,546.10

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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.