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Finding the Fourth Proportional to 206,724.70, 285,262.59 and 116,073.55

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Solution

The fourth proportional to 206,724.70, 285,262.59 and 116,073.55 is: 160,171.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,724.70 : 285,262.59 = 116,073.55 : x
  2. Step 2: Convert to fraction form
    206,724.70/285,262.59 = 116,073.55/x
  3. Step 3: Cross multiply
    206,724.70x = 285,262.59 × 116,073.55
  4. Step 4: Simplify right side
    206,724.70x = 33,111,441,503.49
  5. Step 5: Solve for x
    x = 33,111,441,503.49/206,724.70
  6. Step 6: Final answer
    x = 160,171.68

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