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Finding the Fourth Proportional to 189,239.34, 283,537.64 and 114,201.78

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Solution

The fourth proportional to 189,239.34, 283,537.64 and 114,201.78 is: 171,108.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,239.34 : 283,537.64 = 114,201.78 : x
  2. Step 2: Convert to fraction form
    189,239.34/283,537.64 = 114,201.78/x
  3. Step 3: Cross multiply
    189,239.34x = 283,537.64 × 114,201.78
  4. Step 4: Simplify right side
    189,239.34x = 32,380,503,185.00
  5. Step 5: Solve for x
    x = 32,380,503,185.00/189,239.34
  6. Step 6: Final answer
    x = 171,108.73

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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.