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Finding the Fourth Proportional to 201,020.40, 277,388.50 and 116,135.64

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Solution

The fourth proportional to 201,020.40, 277,388.50 and 116,135.64 is: 160,255.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,020.40 : 277,388.50 = 116,135.64 : x
  2. Step 2: Convert to fraction form
    201,020.40/277,388.50 = 116,135.64/x
  3. Step 3: Cross multiply
    201,020.40x = 277,388.50 × 116,135.64
  4. Step 4: Simplify right side
    201,020.40x = 32,214,690,976.14
  5. Step 5: Solve for x
    x = 32,214,690,976.14/201,020.40
  6. Step 6: Final answer
    x = 160,255.83

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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.