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Finding the Fourth Proportional to 132,109.38, 182,310.89 and 75,521.97

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Solution

The fourth proportional to 132,109.38, 182,310.89 and 75,521.97 is: 104,220.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,109.38 : 182,310.89 = 75,521.97 : x
  2. Step 2: Convert to fraction form
    132,109.38/182,310.89 = 75,521.97/x
  3. Step 3: Cross multiply
    132,109.38x = 182,310.89 × 75,521.97
  4. Step 4: Simplify right side
    132,109.38x = 13,768,477,187.64
  5. Step 5: Solve for x
    x = 13,768,477,187.64/132,109.38
  6. Step 6: Final answer
    x = 104,220.28

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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.