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Finding the Fourth Proportional to 196,192, 294,290.77 and 55,950.63

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Solution

The fourth proportional to 196,192, 294,290.77 and 55,950.63 is: 83,926.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,192 : 294,290.77 = 55,950.63 : x
  2. Step 2: Convert to fraction form
    196,192/294,290.77 = 55,950.63/x
  3. Step 3: Cross multiply
    196,192x = 294,290.77 × 55,950.63
  4. Step 4: Simplify right side
    196,192x = 16,465,753,984.69
  5. Step 5: Solve for x
    x = 16,465,753,984.69/196,192
  6. Step 6: Final answer
    x = 83,926.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.