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Finding the Fourth Proportional to 111,836.30, 167,754.65 and 45,230.81

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Solution

The fourth proportional to 111,836.30, 167,754.65 and 45,230.81 is: 67,846.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,836.30 : 167,754.65 = 45,230.81 : x
  2. Step 2: Convert to fraction form
    111,836.30/167,754.65 = 45,230.81/x
  3. Step 3: Cross multiply
    111,836.30x = 167,754.65 × 45,230.81
  4. Step 4: Simplify right side
    111,836.30x = 7,587,677,635.84
  5. Step 5: Solve for x
    x = 7,587,677,635.84/111,836.30
  6. Step 6: Final answer
    x = 67,846.29

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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.