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Finding the Fourth Proportional to 206,971.26, 310,235.85 and 118,033.26

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Solution

The fourth proportional to 206,971.26, 310,235.85 and 118,033.26 is: 176,923.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,971.26 : 310,235.85 = 118,033.26 : x
  2. Step 2: Convert to fraction form
    206,971.26/310,235.85 = 118,033.26/x
  3. Step 3: Cross multiply
    206,971.26x = 310,235.85 × 118,033.26
  4. Step 4: Simplify right side
    206,971.26x = 36,618,148,744.37
  5. Step 5: Solve for x
    x = 36,618,148,744.37/206,971.26
  6. Step 6: Final answer
    x = 176,923.83

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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.