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Finding the Fourth Proportional to 170,563.86, 255,846.39 and 52,234.68

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Solution

The fourth proportional to 170,563.86, 255,846.39 and 52,234.68 is: 78,352.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,563.86 : 255,846.39 = 52,234.68 : x
  2. Step 2: Convert to fraction form
    170,563.86/255,846.39 = 52,234.68/x
  3. Step 3: Cross multiply
    170,563.86x = 255,846.39 × 52,234.68
  4. Step 4: Simplify right side
    170,563.86x = 13,364,054,310.81
  5. Step 5: Solve for x
    x = 13,364,054,310.81/170,563.86
  6. Step 6: Final answer
    x = 78,352.20

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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.