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Finding the Fourth Proportional to 206,744, 285,306.74 and 116,100.02

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Solution

The fourth proportional to 206,744, 285,306.74 and 116,100.02 is: 160,218.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,744 : 285,306.74 = 116,100.02 : x
  2. Step 2: Convert to fraction form
    206,744/285,306.74 = 116,100.02/x
  3. Step 3: Cross multiply
    206,744x = 285,306.74 × 116,100.02
  4. Step 4: Simplify right side
    206,744x = 33,124,118,220.13
  5. Step 5: Solve for x
    x = 33,124,118,220.13/206,744
  6. Step 6: Final answer
    x = 160,218.04

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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.