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Finding the Fourth Proportional to 206,008.07, 308,963.70 and 116,089.97

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Solution

The fourth proportional to 206,008.07, 308,963.70 and 116,089.97 is: 174,107.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,008.07 : 308,963.70 = 116,089.97 : x
  2. Step 2: Convert to fraction form
    206,008.07/308,963.70 = 116,089.97/x
  3. Step 3: Cross multiply
    206,008.07x = 308,963.70 × 116,089.97
  4. Step 4: Simplify right side
    206,008.07x = 35,867,585,119.27
  5. Step 5: Solve for x
    x = 35,867,585,119.27/206,008.07
  6. Step 6: Final answer
    x = 174,107.67

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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.