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Finding the Fourth Proportional to 196,761.26, 271,496.64 and 110,708.30

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Solution

The fourth proportional to 196,761.26, 271,496.64 and 110,708.30 is: 152,758.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,761.26 : 271,496.64 = 110,708.30 : x
  2. Step 2: Convert to fraction form
    196,761.26/271,496.64 = 110,708.30/x
  3. Step 3: Cross multiply
    196,761.26x = 271,496.64 × 110,708.30
  4. Step 4: Simplify right side
    196,761.26x = 30,056,931,470.11
  5. Step 5: Solve for x
    x = 30,056,931,470.11/196,761.26
  6. Step 6: Final answer
    x = 152,758.38

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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.