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Finding the Fourth Proportional to 189,749.88, 284,592.54 and 63,375.78

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Solution

The fourth proportional to 189,749.88, 284,592.54 and 63,375.78 is: 95,052.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,749.88 : 284,592.54 = 63,375.78 : x
  2. Step 2: Convert to fraction form
    189,749.88/284,592.54 = 63,375.78/x
  3. Step 3: Cross multiply
    189,749.88x = 284,592.54 × 63,375.78
  4. Step 4: Simplify right side
    189,749.88x = 18,036,274,204.68
  5. Step 5: Solve for x
    x = 18,036,274,204.68/189,749.88
  6. Step 6: Final answer
    x = 95,052.89

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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.