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Finding the Fourth Proportional to 206,950.68, 285,669.96 and 120,937.59

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Solution

The fourth proportional to 206,950.68, 285,669.96 and 120,937.59 is: 166,939.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,950.68 : 285,669.96 = 120,937.59 : x
  2. Step 2: Convert to fraction form
    206,950.68/285,669.96 = 120,937.59/x
  3. Step 3: Cross multiply
    206,950.68x = 285,669.96 × 120,937.59
  4. Step 4: Simplify right side
    206,950.68x = 34,548,236,044.28
  5. Step 5: Solve for x
    x = 34,548,236,044.28/206,950.68
  6. Step 6: Final answer
    x = 166,939.47

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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.