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Finding the Fourth Proportional to 206,282.36, 309,211.86 and 117,346.52

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Solution

The fourth proportional to 206,282.36, 309,211.86 and 117,346.52 is: 175,899.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,282.36 : 309,211.86 = 117,346.52 : x
  2. Step 2: Convert to fraction form
    206,282.36/309,211.86 = 117,346.52/x
  3. Step 3: Cross multiply
    206,282.36x = 309,211.86 × 117,346.52
  4. Step 4: Simplify right side
    206,282.36x = 36,284,935,713.73
  5. Step 5: Solve for x
    x = 36,284,935,713.73/206,282.36
  6. Step 6: Final answer
    x = 175,899.36

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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.