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Finding the Fourth Proportional to 203,856.80, 305,785.20 and 110,544.80

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Solution

The fourth proportional to 203,856.80, 305,785.20 and 110,544.80 is: 165,817.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,856.80 : 305,785.20 = 110,544.80 : x
  2. Step 2: Convert to fraction form
    203,856.80/305,785.20 = 110,544.80/x
  3. Step 3: Cross multiply
    203,856.80x = 305,785.20 × 110,544.80
  4. Step 4: Simplify right side
    203,856.80x = 33,802,963,776.96
  5. Step 5: Solve for x
    x = 33,802,963,776.96/203,856.80
  6. Step 6: Final answer
    x = 165,817.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.