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Finding the Fourth Proportional to 132,083.52, 182,062.16 and 108,168

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Solution

The fourth proportional to 132,083.52, 182,062.16 and 108,168 is: 149,097.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,083.52 : 182,062.16 = 108,168 : x
  2. Step 2: Convert to fraction form
    132,083.52/182,062.16 = 108,168/x
  3. Step 3: Cross multiply
    132,083.52x = 182,062.16 × 108,168
  4. Step 4: Simplify right side
    132,083.52x = 19,693,299,722.88
  5. Step 5: Solve for x
    x = 19,693,299,722.88/132,083.52
  6. Step 6: Final answer
    x = 149,097.33

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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.