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Finding the Fourth Proportional to 167,287.12, 230,800 and 106,893.11

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Solution

The fourth proportional to 167,287.12, 230,800 and 106,893.11 is: 147,476.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,287.12 : 230,800 = 106,893.11 : x
  2. Step 2: Convert to fraction form
    167,287.12/230,800 = 106,893.11/x
  3. Step 3: Cross multiply
    167,287.12x = 230,800 × 106,893.11
  4. Step 4: Simplify right side
    167,287.12x = 24,670,929,788
  5. Step 5: Solve for x
    x = 24,670,929,788/167,287.12
  6. Step 6: Final answer
    x = 147,476.56

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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.