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Finding the Fourth Proportional to 141,263, 194,960.24 and 81,647

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Solution

The fourth proportional to 141,263, 194,960.24 and 81,647 is: 112,682.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,263 : 194,960.24 = 81,647 : x
  2. Step 2: Convert to fraction form
    141,263/194,960.24 = 81,647/x
  3. Step 3: Cross multiply
    141,263x = 194,960.24 × 81,647
  4. Step 4: Simplify right side
    141,263x = 15,917,918,715.28
  5. Step 5: Solve for x
    x = 15,917,918,715.28/141,263
  6. Step 6: Final answer
    x = 112,682.86

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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.