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Finding the Fourth Proportional to 201,378.15, 277,891.83 and 116,496.90

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Solution

The fourth proportional to 201,378.15, 277,891.83 and 116,496.90 is: 160,759.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,378.15 : 277,891.83 = 116,496.90 : x
  2. Step 2: Convert to fraction form
    201,378.15/277,891.83 = 116,496.90/x
  3. Step 3: Cross multiply
    201,378.15x = 277,891.83 × 116,496.90
  4. Step 4: Simplify right side
    201,378.15x = 32,373,536,730.33
  5. Step 5: Solve for x
    x = 32,373,536,730.33/201,378.15
  6. Step 6: Final answer
    x = 160,759.93

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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.