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Finding the Fourth Proportional to 201,454.79, 277,993.91 and 116,584.61

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Solution

The fourth proportional to 201,454.79, 277,993.91 and 116,584.61 is: 160,878.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,454.79 : 277,993.91 = 116,584.61 : x
  2. Step 2: Convert to fraction form
    201,454.79/277,993.91 = 116,584.61/x
  3. Step 3: Cross multiply
    201,454.79x = 277,993.91 × 116,584.61
  4. Step 4: Simplify right side
    201,454.79x = 32,409,810,996.80
  5. Step 5: Solve for x
    x = 32,409,810,996.80/201,454.79
  6. Step 6: Final answer
    x = 160,878.83

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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.