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Finding the Fourth Proportional to 141,901.56, 195,858.27 and 85,302

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Solution

The fourth proportional to 141,901.56, 195,858.27 and 85,302 is: 117,737.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,901.56 : 195,858.27 = 85,302 : x
  2. Step 2: Convert to fraction form
    141,901.56/195,858.27 = 85,302/x
  3. Step 3: Cross multiply
    141,901.56x = 195,858.27 × 85,302
  4. Step 4: Simplify right side
    141,901.56x = 16,707,102,147.54
  5. Step 5: Solve for x
    x = 16,707,102,147.54/141,901.56
  6. Step 6: Final answer
    x = 117,737.27

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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.