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Finding the Fourth Proportional to 206,770.52, 309,719.84 and 94,545.09

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Solution

The fourth proportional to 206,770.52, 309,719.84 and 94,545.09 is: 141,618.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,770.52 : 309,719.84 = 94,545.09 : x
  2. Step 2: Convert to fraction form
    206,770.52/309,719.84 = 94,545.09/x
  3. Step 3: Cross multiply
    206,770.52x = 309,719.84 × 94,545.09
  4. Step 4: Simplify right side
    206,770.52x = 29,282,489,674.86
  5. Step 5: Solve for x
    x = 29,282,489,674.86/206,770.52
  6. Step 6: Final answer
    x = 141,618.30

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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.