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Finding the Fourth Proportional to 196,381, 271,006.32 and 111,511.36

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Solution

The fourth proportional to 196,381, 271,006.32 and 111,511.36 is: 153,885.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,381 : 271,006.32 = 111,511.36 : x
  2. Step 2: Convert to fraction form
    196,381/271,006.32 = 111,511.36/x
  3. Step 3: Cross multiply
    196,381x = 271,006.32 × 111,511.36
  4. Step 4: Simplify right side
    196,381x = 30,220,283,311.80
  5. Step 5: Solve for x
    x = 30,220,283,311.80/196,381
  6. Step 6: Final answer
    x = 153,885.98

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1.5x scale

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.