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Finding the Fourth Proportional to 206,984.26, 310,255.34 and 118,046.26

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Solution

The fourth proportional to 206,984.26, 310,255.34 and 118,046.26 is: 176,943.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,984.26 : 310,255.34 = 118,046.26 : x
  2. Step 2: Convert to fraction form
    206,984.26/310,255.34 = 118,046.26/x
  3. Step 3: Cross multiply
    206,984.26x = 310,255.34 × 118,046.26
  4. Step 4: Simplify right side
    206,984.26x = 36,624,482,532.03
  5. Step 5: Solve for x
    x = 36,624,482,532.03/206,984.26
  6. Step 6: Final answer
    x = 176,943.32

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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.