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Finding the Fourth Proportional to 206,648.84, 285,175.25 and 116,004.98

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Solution

The fourth proportional to 206,648.84, 285,175.25 and 116,004.98 is: 160,086.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,648.84 : 285,175.25 = 116,004.98 : x
  2. Step 2: Convert to fraction form
    206,648.84/285,175.25 = 116,004.98/x
  3. Step 3: Cross multiply
    206,648.84x = 285,175.25 × 116,004.98
  4. Step 4: Simplify right side
    206,648.84x = 33,081,748,136.57
  5. Step 5: Solve for x
    x = 33,081,748,136.57/206,648.84
  6. Step 6: Final answer
    x = 160,086.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.