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Finding the Fourth Proportional to 111,140.28, 166,727.70 and 37,251

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Solution

The fourth proportional to 111,140.28, 166,727.70 and 37,251 is: 55,882.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,140.28 : 166,727.70 = 37,251 : x
  2. Step 2: Convert to fraction form
    111,140.28/166,727.70 = 37,251/x
  3. Step 3: Cross multiply
    111,140.28x = 166,727.70 × 37,251
  4. Step 4: Simplify right side
    111,140.28x = 6,210,773,552.70
  5. Step 5: Solve for x
    x = 6,210,773,552.70/111,140.28
  6. Step 6: Final answer
    x = 55,882.29

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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.