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Finding the Fourth Proportional to 206,116.98, 308,486.55 and 117,346.65

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Solution

The fourth proportional to 206,116.98, 308,486.55 and 117,346.65 is: 175,627.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,116.98 : 308,486.55 = 117,346.65 : x
  2. Step 2: Convert to fraction form
    206,116.98/308,486.55 = 117,346.65/x
  3. Step 3: Cross multiply
    206,116.98x = 308,486.55 × 117,346.65
  4. Step 4: Simplify right side
    206,116.98x = 36,199,863,212.56
  5. Step 5: Solve for x
    x = 36,199,863,212.56/206,116.98
  6. Step 6: Final answer
    x = 175,627.76

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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.