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Finding the Fourth Proportional to 129,189.36, 178,274.97 and 71,832.54

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Solution

The fourth proportional to 129,189.36, 178,274.97 and 71,832.54 is: 99,125.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,189.36 : 178,274.97 = 71,832.54 : x
  2. Step 2: Convert to fraction form
    129,189.36/178,274.97 = 71,832.54/x
  3. Step 3: Cross multiply
    129,189.36x = 178,274.97 × 71,832.54
  4. Step 4: Simplify right side
    129,189.36x = 12,805,943,913.52
  5. Step 5: Solve for x
    x = 12,805,943,913.52/129,189.36
  6. Step 6: Final answer
    x = 99,125.38

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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.