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Finding the Fourth Proportional to 175,883.87, 263,863.07 and 67,816.00

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Solution

The fourth proportional to 175,883.87, 263,863.07 and 67,816.00 is: 101,738.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,883.87 : 263,863.07 = 67,816.00 : x
  2. Step 2: Convert to fraction form
    175,883.87/263,863.07 = 67,816.00/x
  3. Step 3: Cross multiply
    175,883.87x = 263,863.07 × 67,816.00
  4. Step 4: Simplify right side
    175,883.87x = 17,894,138,200.18
  5. Step 5: Solve for x
    x = 17,894,138,200.18/175,883.87
  6. Step 6: Final answer
    x = 101,738.37

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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.