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Finding the Fourth Proportional to 111,151.28, 166,744.24 and 37,262

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Solution

The fourth proportional to 111,151.28, 166,744.24 and 37,262 is: 55,898.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,151.28 : 166,744.24 = 37,262 : x
  2. Step 2: Convert to fraction form
    111,151.28/166,744.24 = 37,262/x
  3. Step 3: Cross multiply
    111,151.28x = 166,744.24 × 37,262
  4. Step 4: Simplify right side
    111,151.28x = 6,213,223,870.88
  5. Step 5: Solve for x
    x = 6,213,223,870.88/111,151.28
  6. Step 6: Final answer
    x = 55,898.81

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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.