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Finding the Fourth Proportional to 228,051.37, 341,932.15 and 200,027.70

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Solution

The fourth proportional to 228,051.37, 341,932.15 and 200,027.70 is: 299,914.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,051.37 : 341,932.15 = 200,027.70 : x
  2. Step 2: Convert to fraction form
    228,051.37/341,932.15 = 200,027.70/x
  3. Step 3: Cross multiply
    228,051.37x = 341,932.15 × 200,027.70
  4. Step 4: Simplify right side
    228,051.37x = 68,395,901,520.56
  5. Step 5: Solve for x
    x = 68,395,901,520.56/228,051.37
  6. Step 6: Final answer
    x = 299,914.45

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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.