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Finding the Fourth Proportional to 206,946.70, 285,588.94 and 116,297.37

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Solution

The fourth proportional to 206,946.70, 285,588.94 and 116,297.37 is: 160,491.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,946.70 : 285,588.94 = 116,297.37 : x
  2. Step 2: Convert to fraction form
    206,946.70/285,588.94 = 116,297.37/x
  3. Step 3: Cross multiply
    206,946.70x = 285,588.94 × 116,297.37
  4. Step 4: Simplify right side
    206,946.70x = 33,213,242,550.40
  5. Step 5: Solve for x
    x = 33,213,242,550.40/206,946.70
  6. Step 6: Final answer
    x = 160,491.77

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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.