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Finding the Fourth Proportional to 206,950.55, 285,592.74 and 120,914.42

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Solution

The fourth proportional to 206,950.55, 285,592.74 and 120,914.42 is: 166,862.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,950.55 : 285,592.74 = 120,914.42 : x
  2. Step 2: Convert to fraction form
    206,950.55/285,592.74 = 120,914.42/x
  3. Step 3: Cross multiply
    206,950.55x = 285,592.74 × 120,914.42
  4. Step 4: Simplify right side
    206,950.55x = 34,532,280,238.38
  5. Step 5: Solve for x
    x = 34,532,280,238.38/206,950.55
  6. Step 6: Final answer
    x = 166,862.48

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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.