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Finding the Fourth Proportional to 111,770.64, 167,729.82 and 52,623.23

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Solution

The fourth proportional to 111,770.64, 167,729.82 and 52,623.23 is: 78,969.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,770.64 : 167,729.82 = 52,623.23 : x
  2. Step 2: Convert to fraction form
    111,770.64/167,729.82 = 52,623.23/x
  3. Step 3: Cross multiply
    111,770.64x = 167,729.82 × 52,623.23
  4. Step 4: Simplify right side
    111,770.64x = 8,826,484,057.07
  5. Step 5: Solve for x
    x = 8,826,484,057.07/111,770.64
  6. Step 6: Final answer
    x = 78,969.61

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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.