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Finding the Fourth Proportional to 196,933.50, 271,766.80 and 112,055.22

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Solution

The fourth proportional to 196,933.50, 271,766.80 and 112,055.22 is: 154,635.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,933.50 : 271,766.80 = 112,055.22 : x
  2. Step 2: Convert to fraction form
    196,933.50/271,766.80 = 112,055.22/x
  3. Step 3: Cross multiply
    196,933.50x = 271,766.80 × 112,055.22
  4. Step 4: Simplify right side
    196,933.50x = 30,452,888,562.70
  5. Step 5: Solve for x
    x = 30,452,888,562.70/196,933.50
  6. Step 6: Final answer
    x = 154,635.39

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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.