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Finding the Fourth Proportional to 166,986, 230,441.49 and 99,918

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Solution

The fourth proportional to 166,986, 230,441.49 and 99,918 is: 137,887.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,986 : 230,441.49 = 99,918 : x
  2. Step 2: Convert to fraction form
    166,986/230,441.49 = 99,918/x
  3. Step 3: Cross multiply
    166,986x = 230,441.49 × 99,918
  4. Step 4: Simplify right side
    166,986x = 23,025,252,797.82
  5. Step 5: Solve for x
    x = 23,025,252,797.82/166,986
  6. Step 6: Final answer
    x = 137,887.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.