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Finding the Fourth Proportional to 175,999.90, 263,999.85 and 105,843.10

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Solution

The fourth proportional to 175,999.90, 263,999.85 and 105,843.10 is: 158,764.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,999.90 : 263,999.85 = 105,843.10 : x
  2. Step 2: Convert to fraction form
    175,999.90/263,999.85 = 105,843.10/x
  3. Step 3: Cross multiply
    175,999.90x = 263,999.85 × 105,843.10
  4. Step 4: Simplify right side
    175,999.90x = 27,942,562,523.54
  5. Step 5: Solve for x
    x = 27,942,562,523.54/175,999.90
  6. Step 6: Final answer
    x = 158,764.65

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1.5x scale

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.