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Finding the Fourth Proportional to 196,593.80, 271,290.50 and 120,240.77

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Solution

The fourth proportional to 196,593.80, 271,290.50 and 120,240.77 is: 165,926.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,593.80 : 271,290.50 = 120,240.77 : x
  2. Step 2: Convert to fraction form
    196,593.80/271,290.50 = 120,240.77/x
  3. Step 3: Cross multiply
    196,593.80x = 271,290.50 × 120,240.77
  4. Step 4: Simplify right side
    196,593.80x = 32,620,177,106.93
  5. Step 5: Solve for x
    x = 32,620,177,106.93/196,593.80
  6. Step 6: Final answer
    x = 165,926.79

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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.