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Finding the Fourth Proportional to 132,021.39, 182,122.02 and 83,541.75

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Solution

The fourth proportional to 132,021.39, 182,122.02 and 83,541.75 is: 115,244.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,021.39 : 182,122.02 = 83,541.75 : x
  2. Step 2: Convert to fraction form
    132,021.39/182,122.02 = 83,541.75/x
  3. Step 3: Cross multiply
    132,021.39x = 182,122.02 × 83,541.75
  4. Step 4: Simplify right side
    132,021.39x = 15,214,791,581.38
  5. Step 5: Solve for x
    x = 15,214,791,581.38/132,021.39
  6. Step 6: Final answer
    x = 115,244.89

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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.