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Finding the Fourth Proportional to 111,888.64, 167,906.58 and 52,741

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Solution

The fourth proportional to 111,888.64, 167,906.58 and 52,741 is: 79,146.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,888.64 : 167,906.58 = 52,741 : x
  2. Step 2: Convert to fraction form
    111,888.64/167,906.58 = 52,741/x
  3. Step 3: Cross multiply
    111,888.64x = 167,906.58 × 52,741
  4. Step 4: Simplify right side
    111,888.64x = 8,855,560,935.78
  5. Step 5: Solve for x
    x = 8,855,560,935.78/111,888.64
  6. Step 6: Final answer
    x = 79,146.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.